Pau Martı́n

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All published works

Action	Title	Year	Authors
+ PDF Chat	Parabolic saddles and Newhouse domains in Celestial Mechanics	2024	M. Isabel Garrido Pau Martı́n Jaime Paradela
+	Invariant manifolds of degenerate tori and double parabolic orbits to infinity in the (n+2)-body problem	2024	Immaculada Baldomá Ernest Fontich Pau Martı́n
+	Chaotic scattering of He atoms off a Cu surface with corrugated Morse potential	2024	F. Borondo Ernest Fontich Pau Martı́n
+	A Numerical Study of the Scattering In the He-Cu Model with a Morse Potential:Parabolic Manifolds and Exponentially Small Phenomena	2024	Mercè Ollé Esther Barrabés Ernest Fontich Pau Martı́n F. Borondo
+	Novel slow–fast behaviour in an oscillator driven by a frequency-switching force	2022	Carles Bonet Mike R. Jeffrey Pau Martı́n Josep M. Olm
+ PDF Chat	Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem	2022	Maciej J. Capiński Marcel Guàrdia Pau Martı́n Tere M. Seara Piotr Zgliczyński
+	Hyperbolic dynamics and oscillatory motions in the 3 Body Problem	2022	Marcel Guàrdia Pau Martı́n Jaime Paradela Tere M. Seara
+ PDF Chat	Novel Slow-Fast Behaviour in an Oscillator Driven by a Frequency-Switching Force	2022	Mike R. Jeffrey Carles Bonet Pau Martı́n Josep Maria Olm
+	Novel slow-fast behaviour in an oscillator driven by a frequency-switching force	2022	Carles Bonet Mike R. Jeffrey Pau Martı́n Josep M. Olm
+ PDF Chat	Ageing of an oscillator due to frequency switching	2021	Carles Bonet Mike R. Jeffrey Pau Martı́n Josep M. Olm
+ PDF Chat	Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs	2021	Filippo Giuliani Marcel Guàrdia Pau Martı́n Stefano Pasquali
+ PDF Chat	Chaotic-Like Transfers of Energy in Hamiltonian PDEs	2021	Filippo Giuliani Marcel Guàrdia Pau Martı́n Stefano Pasquali
+	Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem	2021	Maciej J. Capiński Marcel Guàrdia Pau Martı́n Tere M. Seara Piotr Zgliczyński
+	Chaotic Resonant Dynamics and Exchanges of Energy in Hamiltonian PDEs	2020	Filippo Giuliani Marcel Guàrdia Pau Martı́n Stefano Pasquali
+	Chaotic Resonant Dynamics and Exchanges of Energy in Hamiltonian PDEs	2020	Filippo Giuliani Marcel Guàrdia Pau Martı́n Stefano Pasquali
+	Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions	2019	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters	2019	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+ PDF Chat	Whiskered Parabolic Tori in the Planar $$(n+1)$$-Body Problem	2019	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points	2017	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points	2017	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points	2017	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Oscillatory orbits in the restricted elliptic planar three body problem	2016	Marcel Guàrdia Tere M. Seara Pau Martı́n Lara Sabbagh
+ PDF Chat	Exponentially Small Asymptotic Formulas for the Length Spectrum in Some Billiard Tables	2016	Pau Martı́n Rafael Ramírez-Ros Anna Tamarit-Sariol
+	Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters	2016	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions	2016	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+ PDF Chat	On the length and area spectrum of analytic convex domains	2016	Pau Martı́n Rafael Ramírez-Ros Anna Tamarit-Sariol
+	Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters	2016	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions	2016	Inmaculada Baldomá Ernest Fontich Pau Martı́n
+	Exponentially small asymptotic formulas for the length spectrum in some billiard tables	2015	Pau Martı́n Anna Tamarit-Sariol Rafael Ramírez-Ros
+ PDF Chat	Oscillatory motions for the restricted planar circular three body problem	2015	Marcel Guàrdia Pau Martı́n Tere M. Seara
+	Exponentially small asymptotic formulas for the length spectrum in some billiard tables	2015	Pau Martı́n Anna Tamarit-Sariol Rafael Ramírez-Ros
+	On the length and area spectrum of analytic convex domains	2014	Pau Martı́n Rafael Ramírez-Ros Anna Tamarit-Sariol
+	On the length and area spectrum of analytic convex domains	2014	Pau Martı́n Rafael Ramírez-Ros Anna Tamarit-Sariol
+	Homoclinic Solutions to Infinity and Oscillatory Motions in the Restricted Planar Circular Three Body Problem	2013	Marcel Guàrdia Pau Martı́n Tere M. Seara
+	Oscillatory motions for the restricted planar circular three body problem	2012	Marcel Guàrdia Pau Martı́n Tere M. Seara
+	The inner equation for generalized standard maps	2012	Imma Baldomà Pau Martı́n
+ PDF Chat	The Inner Equation for Generalized Standard Maps	2012	Inmaculada Baldomá Pau Martı́n
+	The inner equation for generalized standard maps	2012	Imma Baldomà Pau Martı́n
+	Oscillatory motions for the restricted planar circular three body problem	2012	Marcel Guàrdia Pau Martı́n Tere M. Seara
+	Dynamical systems on lattices with decaying interaction II: Hyperbolic sets and their invariant manifolds	2011	Ernest Fontich Rafael de la Llave Pau Martı́n
+ PDF Chat	Resurgence of inner solutions for perturbations of the McMillan map	2011	Pau Martı́n David Sauzin Tere M. Seara
+	Exponentially small splitting of separatrices in the perturbed McMillan map	2011	Pau Martı́n David Sauzin Tere M. Seara
+ PDF Chat	Dynamical systems on lattices with decaying interaction I: A functional analysis framework	2010	Ernest Fontich Rafael de la Llave Pau Martı́n
+ PDF Chat	The parameterization method for one- dimensional invariant manifolds of higher dimensional parabolic fixed points	2007	Inmaculada Baldomá Ernest Fontich Rafael de la Llave Pau Martı́n
+	Invariant pre-foliations for non-resonant non-uniformly hyperbolic systems	2005	Ernest Fontich Rafael de la Llave Pau Martı́n
+	NON-RESONANT INVARIANT MANIFOLDS IN NON-UNIFORMLY HYPERBOLIC SYSTEMS	2005	Ernest Fontich Rafael de la Llave Pau Martı́n
+ PDF Chat	Hamiltonian systems with orbits covering densely submanifolds of small codimension	2002	Ernest Fontich Pau Martı́n
+ PDF Chat	Arnold diffusion in perturbations of analytic integrable Hamiltonian systems	2001	Ernest Fontich Pau Martı́n
+	Arnold diffusion in perturbations of analytic exact symplectic maps	2000	Ernest Fontich Pau Martı́n
+ PDF Chat	Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma	2000	Ernest Fontich Pau Martı́n

Common Coauthors

Coauthor	Papers Together
Ernest Fontich	22
Inmaculada Baldomá	12
Marcel Guàrdia	12
Tere M. Seara	10
Anna Tamarit-Sariol	6
Rafael Ramírez-Ros	6
Rafael de la Llave	5
Mike R. Jeffrey	4
Filippo Giuliani	4
Carles Bonet	4
Josep M. Olm	3
Stefano Pasquali	3
Imma Baldomà	2
Jaime Paradela	2
F. Borondo	2
Maciej J. Capiński	2
Piotr Zgliczyński	2
David Sauzin	2
Esther Barrabés	1
Stefano Pasquali	1
Lara Sabbagh	1
Mercè Ollé	1
M. Isabel Garrido	1
Josep Maria Olm	1
Immaculada Baldomá	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces	2003	Xavier Cabré Ernest Fontich Rafael de la Llave	13
+	A stable manifold theorem for degenerate fixed points with applications to celestial mechanics	1973	Richard McGehee	11
+	On the Stability of the Center for Time Periodic Perturbations	1963	V. K. Mel’nikov	9
+ PDF Chat	The parameterization method for invariant manifolds II: regularity with respect to parameters	2003	Xavier Cabré Ernest Fontich Rafael de la Llave	7
+ PDF Chat	The parameterization method for one- dimensional invariant manifolds of higher dimensional parabolic fixed points	2007	Inmaculada Baldomá Ernest Fontich Rafael de la Llave Pau Martı́n	7
+	A Proof of the Exponentially Small Transversality of the Separatrices for the Standard Map	1999	Vassili Gelfreich	6
+ PDF Chat	An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum	1992	Amadeu Delshams Tere M. Seara	6
+ PDF Chat	The splitting of separatrices for analytic diffeomorphisms	1990	Ernest Fontich Carles Simö	6
+ PDF Chat	Oscillatory motions for the restricted planar circular three body problem	2015	Marcel Guàrdia Pau Martı́n Tere M. Seara	6
+ PDF Chat	Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma	2000	Ernest Fontich Pau Martı́n	6
+	Analytic transformations of (Cp,0) tangent to the identity	1998	Monique Hakim	6
+ PDF Chat	The propagation of singularities along gliding rays	1977	Karl Gustav Andersson Richard Melrose	6
+	Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables	2006	Rafael Ramírez-Ros	6
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	6
+ PDF Chat	Resurgence of inner solutions for perturbations of the McMillan map	2011	Pau Martı́n David Sauzin Tere M. Seara	6
+ PDF Chat	Arnold diffusion in perturbations of analytic integrable Hamiltonian systems	2001	Ernest Fontich Pau Martı́n	5
+	Oscillatory orbits in the restricted elliptic planar three body problem	2016	Marcel Guàrdia Tere M. Seara Pau Martı́n Lara Sabbagh	5
+ PDF Chat	Non-persistence of resonant caustics in perturbed elliptic billiards	2012	Sônia Pinto-de-Carvalho Rafael Ramírez-Ros	5
+	High-precision computations of divergent asymptotic series and homoclinic phenomena	2008	Carles Simó Vassili Gelfreich	5
+	Greene's residue criterion	1992	Robert S. MacKay	5
+ PDF Chat	Stable manifolds for hyperbolic sets	1969	Morris W. Hirsch Charles Pugh	5
+	The separation of motions in systems with rapidly rotating phase	1984	А. И. Нейштадт	5
+ PDF Chat	A new method for measuring the splitting of invariant manifolds	2001	David Sauzin	5
+	Topological Decoupling Near Planar Parabolic Orbits	2015	Clark Robinson	5
+ PDF Chat	Spectral invariants of convex planar regions	1982	Shahla Marvizi Richard Melrose	5
+	Splitting of separatrices: perturbation theory and exponential smallness	2001	Vassili Gelfreich V. F. Lazutkin	5
+ PDF Chat	Exponentially Small Splitting of Separatrices for Perturbed Integrable Standard-Like Maps	1998	Amadeu Delshams Rafael Ramírez-Ros	5
+	Exponentially small splitting of separatrices in the perturbed McMillan map	2011	Pau Martı́n David Sauzin Tere M. Seara	5
+	The parameterization method for invariant manifolds III: overview and applications	2005	Xavier Cabré Ernest Fontich Rafael de la Llave	5
+	Stable manifolds associated to fixed points with linear part equal to identity	2003	Inmaculada Baldomá Ernest Fontich	5
+	A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: Rigorous results	2005	Àlex Haro Rafael de la Llave	4
+	Splitting of Separatrices for the Chirikov Standard Map	2005	V. F. Lazutkin	4
+ PDF Chat	Singular Separatrix Splitting and the Melnikov Method: An Experimental Study	1999	Amadeu Delshams Rafael Ramírez-Ros	4
+	Exponentially small splittings in Hamiltonian systems	1991	Vassili Gelfreich V. F. Lazutkin M. B. Tabanov	4
+ PDF Chat	A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity	2007	Àlex Haro Rafael de la Llave	4
+	A Geometric Approach to the Existence of Orbits with Unbounded Energy in Generic Periodic Perturbations by a Potential of Generic Geodesic Flows of ?2}	2000	Amadeu Delshams Rafael de la Llave Tere M. Seara	4
+	Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results	2012	Inmaculada Baldomá Ernest Fontich Marcel Guàrdia Tere M. Seara	4
+ PDF Chat	A criterion for the non-existence of invariant circles	1986	John N. Mather	4
+ PDF Chat	Borel summation and splitting of separatrices for the Hénon map	2001	Vassili Gelfreich David Sauzin	4
+ PDF Chat	One dimensional invariant manifolds of Gevrey type in real-analytic maps	2008	Àlex Haro Inmaculada Baldomá	4
+	Global instability in the elliptic restricted three body problem	2015	Amadeu Delshams V. A. Kaloshin Abraham de la Rosa Tere M. Seara	4
+	Parabolic Orbits in the Elliptic Restricted Three Body Problem	1994	R. Martı́nez Conxita Pinyol	3
+	Problems in Hamiltonian PDE’S	2010	Jean Bourgain	3
+ PDF Chat	Sub-Riemannian geometry and periodic orbits in classical billiards	2006	Yuliy Baryshnikov Vadim Zharnitsky	3
+ PDF Chat	Convex curves whose points are vertices of billiard triangles	1988	Nobuhiro Innami	3
+	Melnikov method and exponentially small splitting of separatrices	1997	Vassili Gelfreich	3
+ PDF Chat	Caustics for inner and outer billiards	1995	Eugène Gutkin Anatole Katok	3
+ PDF Chat	A number theoretic question arising in the geometry of plane curves and in billiard dynamics	2012	Van Cyr	3
+ PDF Chat	The Frequency Map for Billiards inside Ellipsoids	2011	Pablo S. Casas Rafael Ramírez-Ros	3
+ PDF Chat	Estimation of the Amplitude of Resonance in the General Standard Map	2001	Arturo Olvera	3