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On the stability of $\ddot x(t)+\alpha(t)\dot x(t)+\beta(t) x(t)=0$
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2024
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Mário Bessa
Helder Vilarinho
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Simple Lyapunov spectrum for linear homogeneous differential equations with $$L^p$$ parameters
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2024
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Dinis Amaro
Mário Bessa
Helder Vilarinho
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Billiards in generic convex bodies have positive topological entropy
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2024
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Mário Bessa
Gianluigi Del Magno
João Lopes Dias
José Pedro Gaivão
Maria Joana Torres
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Genericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equations
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2023
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Dinis Amaro
Mário Bessa
Helder Vilarinho
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Plenty of hyperbolicity on a class of linear homogeneous jerk differential equations
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2023
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Mário Bessa
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Lyapunov exponents and entropy for divergence-free Lipschitz vector fields
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2023
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Mário Bessa
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Genericity of trivial Lyapunov spectrum for Lp-cocycles derived from second order linear homogeneous differential equations
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2023
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Dinis Amaro
Mário Bessa
Helder Vilarinho
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Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters
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2023
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Dinis Amaro
Mário Bessa
Helder Vilarinho
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Lyapunov Exponents for Linear Homogeneous Differential Equations
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2023
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Mário Bessa
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Flowbox theorems for a class of Sobolev vector fields
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2022
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Mário Bessa
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Markus–Yamabe’s conjecture for compact gradients in Hilbert spaces
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2022
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Mário Bessa
Pedro Morais
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Billiards in generic convex bodies have positive topological entropy
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2022
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Mário Bessa
Gianluigi Del Magno
João Lopes Dias
José Pedro Gaivão
Maria Joana Torres
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Expansiveness and Hyperbolicity in Convex Billiards
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2021
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Mário Bessa
João Lopes Dias
Maria Joana Torres
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PDF
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Topological aspects of incompressible flows
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2021
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Mário Bessa
Maria Joana Torres
Paulo Varandas
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The closing lemma and the planar general density theorem for Sobolev maps
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2021
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Assis Azevedo
Davide Azevedo
Mário Bessa
Maria Joana Torres
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Hyperbolicity through stable shadowing for generic geodesic flows
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2020
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Mário Bessa
João Lopes Dias
Maria Joana Torres
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The Role of the Saddle-Foci on the Structure of a Bykov Attracting Set
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2020
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Mário Bessa
Maria Carvalho
Alexandre A. P. Rodrigues
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There are no proper topological hyperbolic homoclinic classes for area-preserving maps
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2019
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Mário Bessa
Maria Joana Torres
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Straighten out coordinates for volume-preserving actions
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2019
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Mário Bessa
Pedro Morais
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The Lyapunov exponents of generic skew-product compact semiflows
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2019
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Mário Bessa
Glória Ferreira Carvalho
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Sobolev homeomorphisms are dense in volume preserving automorphisms
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2018
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Assis Azevedo
Davide Azevedo
Mário Bessa
Maria Joana Torres
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Stretching Generic Pesin’s Entropy Formula
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2018
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Mário Bessa
César M. Silva
Helder Vilarinho
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On the periodic orbits, shadowing and strong transitivity of continuous flows
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2018
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Mário Bessa
Maria Joana Torres
Paulo Varandas
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A Note on Expansiveness and Hyperbolicity for Generic Geodesic Flows
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2018
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Mário Bessa
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Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles
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2018
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Mário Bessa
Jorge Rocha
Paulo Varandas
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The role of the saddle-foci on the structure of a Bykov attracting set
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2017
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Mário Bessa
Maria Carvalho
Alexandre A. P. Rodrigues
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PDF
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The flowbox theorem for divergence-free Lipschitz vector fields
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2017
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Mário Bessa
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Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases
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2017
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Mário Bessa
Jairo Bochi
Michel Cambrainha
Carlos Matheus
Paulo Varandas
Disheng Xu
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On shadowing and hyperbolicity for geodesic flows on surfaces
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2017
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Mário Bessa
João Lopes Dias
Maria Joana Torres
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The role of the saddle-foci on the structure of a Bykov attracting set
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2017
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Mário Bessa
Maria Helena Catelli de Carvalho
Alexandre A. P. Rodrigues
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On shadowing and hyperbolicity for geodesic flows on surfaces
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2016
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Mário Bessa
Maria Joana Torres
João Lopes Dias
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Dynamics of conservative Bykov cycles: Tangencies, generalized Cocoon bifurcations and elliptic solutions
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2016
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Mário Bessa
Alexandre A. P. Rodrigues
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Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds
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2016
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Mário Bessa
Sérgio Dias
Alberto A. Pinto
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PDF
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On the Lyapunov spectrum of relative transfer operators
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2016
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Mário Bessa
Manuel Stadlbauer
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Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases
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2016
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Mário Bessa
Jairo Bochi
Michel Cambrainha
Carlos Matheus
Paulo Varandas
Disheng Xu
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On shadowing and hyperbolicity for geodesic flows on surfaces
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2016
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Mário Bessa
Maria Joana Torres
João Lopes Dias
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Dynamics of conservative Bykov cycles: tangencies, generalized cocoon bifurcations and elliptic solutions
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2015
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Mário Bessa
Alexandre A. P. Rodrigues
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A note on reversibility and Pell equations
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2015
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Mário Bessa
Maria Carvalho
Alexandre A. P. Rodrigues
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PDF
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A Dichotomy in Area-Preserving Reversible Maps
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2015
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Mário Bessa
Alexandre A. P. Rodrigues
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PDF
Chat
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Trivial and simple spectrum for SL(d, ℝ) cocycles with free base and fiber dynamics
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2015
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Mário Bessa
Paulo Varandas
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Structural stability revisited: finest dominated splittings and equidimensional cycles
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2015
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Mário Bessa
Jorge Rocha
Paulo Varandas
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Uniform hyperbolicity revisited: Index of periodic points and equidimensional cycles
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2015
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Mário Bessa
Jorge Rocha
Paulo Varandas
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PDF
Chat
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Generic area-preserving reversible diffeomorphisms
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2015
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Mário Bessa
Maria Carvalho
Alexandre A. P. Rodrigues
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PDF
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Shadowing, expansiveness and specification for C1-conservative systems
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2015
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Mário Bessa
Manseob Lee
Xiao Wen
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The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> general density theorem for geodesic flows
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2015
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Mário Bessa
Maria Joana Torres
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PDF
Chat
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Conservative flows with various types of shadowing
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2015
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Mário Bessa
Raquel Ribeiro
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PDF
Chat
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Generic Hamiltonian Dynamics
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2015
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Mário Bessa
C. Ferreira
Jorge Rocha
Paulo Varandas
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A note on reversibility and Pell equations
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2015
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Mário Bessa
Maria Carvalho
Alexandre A. P. Rodrigues
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Dynamics of conservative Bykov cycles: tangencies, generalized cocoon bifurcations and elliptic solutions
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2015
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Mário Bessa
Alexandre A. P. Rodrigues
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Uniform hyperbolicity revisited: Index of periodic points and equidimensional cycles
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2015
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Mário Bessa
Jorge Rocha
Paulo Varandas
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Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds
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2014
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Mário Bessa
Sérgio Dias
Alberto A. Pinto
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Positive Lyapunov exponents for symplectic cocycles
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2014
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Mário Bessa
Paulo Varandas
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PDF
Chat
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Stable weakly shadowable volume-preserving systems are volume-hyperbolic
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2014
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Mário Bessa
Manseob Lee
Sandra Vaz
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PDF
Chat
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STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC
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2014
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Mário Bessa
Sandra Vaz
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Hamiltonian suspension of perturbed Poincaré sections and an application
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2014
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Mário Bessa
João Lopes Dias
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A dichotomy in area-preserving reversible maps
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2014
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Mário Bessa
Alexandre A. P. Rodrigues
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Fine properties of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-cocycles which allow abundance of simple and trivial spectrum
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2014
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Mário Bessa
Helder Vilarinho
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A dichotomy in area-preserving reversible maps
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2014
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Mário Bessa
Alexandre A. P. Rodrigues
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Positive Lyapunov exponents for symplectic cocycles
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2014
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Mário Bessa
Paulo Varandas
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Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds
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2014
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Mário Bessa
Sérgio Dias
Alberto A. Pinto
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PDF
Chat
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C<sup>1</sup>-STABLY SHADOWABLE CONSERVATIVE DIFFEOMORPHISMS ARE ANOSOV
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2013
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Mário Bessa
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PDF
Chat
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Shades of hyperbolicity for Hamiltonians
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2013
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Mário Bessa
Jorge Rocha
Maria Joana Torres
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Conservative flows with various types of shadowing
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2013
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Mário Bessa
Raquel Ribeiro
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Flows with various types of shadowing
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2013
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Mário Bessa
Raquel Ribeiro
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The C0 general density theorem for geodesic flows
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2013
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Mário Bessa
Maria Joana Torres
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Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
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2013
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Mário Bessa
Helder Vilarinho
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Shadowing, expansiveness and specification for C1-conservative systems
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2013
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Mário Bessa
M. Lee
Xi Wen
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The C0 general density theorem for geodesic flows
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2013
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Mário Bessa
Maria Joana Torres
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Positive Lyapunov exponents for Hamiltonian linear differential systems
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2013
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Mário Bessa
Paulo Varandas
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Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
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2013
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Mário Bessa
Helder Vilarinho
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Conservative flows with various types of shadowing
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2013
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Mário Bessa
R. A. Ribeiro
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PDF
Chat
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On $$C^1$$ -Generic Chaotic Systems in Three-Manifolds
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2012
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Mário Bessa
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Frisos imperfeitos de números inteiros
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2012
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Mário Bessa
Maria Carvalho
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PDF
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NON-UNIFORM HYPERBOLICITY FOR INFINITE DIMENSIONAL COCYCLES
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2012
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Mário Bessa
Maria Carvalho
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Hyperbolicity and stability for Hamiltonian flows
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2012
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Mário Bessa
Jorge Rocha
Maria Joana Torres
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PDF
Chat
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Contributions to the geometric and ergodic theory of conservative flows
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2012
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Mário Bessa
Jorge Rocha
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Stable weakly shadowable volume-preserving systems are volume-hyperbolic
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2012
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Mário Bessa
Manseob Lee
Sandra Vaz
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Generic Hamiltonian Dynamics
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2012
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Mário Bessa
Célia Ferreira
Jorge Rocha
Paulo Varandas
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Stably weakly shadowing symplectomorphisms are partially hyperbolic
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2012
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Mário Bessa
Sandra Vaz
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Hyperbolicity and Stability for Hamiltonian flows
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2012
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Mário Bessa
Maria Joana Torres
Jorge Rocha
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Trivial and simple spectrum for SL(2,R) cocycles with free base and fiber dynamics
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2012
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Mário Bessa
Paulo Varandas
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Generic Hamiltonian Dynamics
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2012
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Mário Bessa
Célia Ferreira
Jorge Rocha
Paulo Varandas
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Stable weakly shadowable volume-preserving systems are volume-hyperbolic
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2012
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Mário Bessa
Manseob Lee
Sandra Vaz
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C1-stably shadowable conservative diffeomorphisms are Anosov
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2011
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Mário Bessa
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PDF
Chat
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Dense area-preserving homeomorphisms have zero Lyapunov exponents
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2011
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Mário Bessa
César M. Silva
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A remark on the topological stability of symplectomorphisms
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2011
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Mário Bessa
Jorge Rocha
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Deterministic products of stochastic matrices generically admit dominated splittings, and an application to relative transfer operators
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2011
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Mário Bessa
Manuel Stadlbauer
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PDF
Chat
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Denseness of ergodicity for a class of volume-preserving flows
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2011
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Mário Bessa
Jorge Rocha
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Topological stability for conservative systems
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2011
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Mário Bessa
Jorge Rocha
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A remark on the topological stability of symplectomorphisms
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2011
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Mário Bessa
Jorge Rocha
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Generic Hamiltonian Dynamical Systems: An Overview
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2011
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Mário Bessa
João Lopes Dias
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Area-Preserving Diffeomorphisms from theC 1Standpoint
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2011
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Mário Bessa
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C1-stably shadowable conservative diffeomorphisms are Anosov
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2011
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Mário Bessa
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A remark on the topological stability of symplectomorphisms
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2011
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Mário Bessa
Jorge Rocha
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Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections
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2011
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Mário Bessa
João Lopes Dias
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PDF
Chat
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On the Entropy of Conservative Flows
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2010
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Mário Bessa
Paulo Varandas
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Topological stability for conservative systems
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2010
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Mário Bessa
Jorge Rocha
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PDF
Chat
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On the stability of the set of hyperbolic closed orbits of a Hamiltonian
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2010
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Mário Bessa
Célia Ferreira
Jorge Rocha
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On generic Area-preserving homeomorphisms
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2010
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Mário Bessa
César Silva
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Dense area-preserving homeomorphisms have zero Lyapunov exponents
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2010
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Mário Bessa
César Silva
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On the entropy of conservative flows
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2010
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Mário Bessa
Paulo Varandas
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Perturbations of Mathieu equations with parametric excitation of large period
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2010
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Mário Bessa
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Dense area-preserving homeomorphisms have zero Lyapunov exponents
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2010
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Mário Bessa
César Silva
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Topological stability for conservative systems
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2010
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Mário Bessa
Jorge Rocha
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On the entropy of conservative flows
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2010
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Mário Bessa
Paulo Varandas
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Three-dimensional conservative star flows are Anosov
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2009
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Mário Bessa
Jorge Rocha
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Imperfect friezes of integers
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2009
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Mário Bessa
Maria Carvalho
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PDF
Chat
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Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
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2009
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Mário Bessa
Jorge Rocha
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Imperfect friezes of integers
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2009
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Mário Bessa
Maria Carvalho
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Are there chaotic maps in the sphere?
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2008
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Mário Bessa
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ON THE LYAPUNOV SPECTRUM OF INFINITE DIMENSIONAL RANDOM PRODUCTS OF COMPACT OPERATORS
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2008
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Mário Bessa
Maria Carvalho
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PDF
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A generic incompressible flow is topological mixing
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2008
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Mário Bessa
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Abundance of elliptic dynamics on conservative three-flows
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2008
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Mário Bessa
Pedro Duarte
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Hamiltonian elliptic dynamics on symplectic $4$-manifolds
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2008
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Mário Bessa
João Lopes Dias
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PDF
Chat
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Dominated splitting and zero volume for incompressible three flows
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2008
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Vı́tor Araújo
Mário Bessa
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PDF
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Generic Dynamics of 4-Dimensional C 2 Hamiltonian Systems
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2008
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Mário Bessa
João Lopes Dias
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On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-robust transitivity of volume-preserving flows
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2008
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Mário Bessa
Jorge Rocha
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PDF
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ON THE FUNDAMENTAL REGIONS OF A FIXED POINT FREE CONSERVATIVE HÉNON MAP
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2008
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Mário Bessa
Jorge Rocha
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PDF
Chat
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Dynamics of Generic Multidimensional Linear Differential Systems
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2008
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Mário Bessa
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Hamiltonian elliptic dynamics on symplectic 4-manifolds
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2008
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Mário Bessa
João Lopes Dias
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Contributions to the Geometric and Ergodic Theory of Conservative Flows
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2008
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Mário Bessa
Jorge Rocha
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Hamiltonian elliptic dynamics on symplectic 4-manifolds
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2008
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Mário Bessa
João Lopes Dias
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The Lyapunov exponents of generic zero divergence three-dimensional vector fields
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2007
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Mário Bessa
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PDF
Chat
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Removing zero Lyapunov exponents in volume-preserving flows
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2007
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Mário Bessa
Jorge Rocha
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On C1-robust transitivity of volume-preserving flows
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2007
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Mário Bessa
Jorge Rocha
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Abundance of elliptic dynamics on conservative 3-flows
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2007
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Mário Bessa
Pedro Duarte
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Denseness of ergodicity for a class of partially hyperbolic volume-preserving flows
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2007
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Mário Bessa
Jorge Rocha
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On the spectrum of infinite dimensional random products of compact operators
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2007
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Mário Bessa
Maria Carvalho
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Dynamics of generic 2-dimensional linear differential systems
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2006
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Mário Bessa
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