Pere Gutiérrez

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All published works

Action	Title	Year	Authors
+ PDF Chat	Correction to: Exponentially Small Splitting of Separatrices Associated to 3D Whiskered Tori with Cubic Frequencies	2023	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+ PDF Chat	Exponentially Small Splitting of Separatrices Associated to 3D Whiskered Tori with Cubic Frequencies	2020	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+ PDF Chat	Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio	2016	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+	Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio	2015	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+ PDF Chat	A Methodology for Obtaining Asymptotic Estimates for the Exponentially Small Splitting of Separatrices to Whiskered Tori with Quadratic Frequencies	2015	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+	Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio	2015	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+ PDF Chat	Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio	2014	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+ PDF Chat	Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type	2014	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+ PDF Chat	Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies	2014	Pere Gutiérrez Marina Gonchenko Amadeu Delshams
+	A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies	2014	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+	Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies	2013	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+	Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies	2013	Amadeu Delshams Marina Gonchenko Pere Gutiérrez
+ PDF Chat	Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton–Jacobi equation	2012	Amadeu Delshams Pere Gutiérrez Juan Ramón Pacha Andújar
+	Transversality of homoclinic orbits to hyberbolic equilibria in a Hamiltonian system, via the Hamilton--Jacobi equation	2012	Amadeu Delshams Pere Gutiérrez Juan Ramón Pacha Andújar
+	Transversality of homoclinic orbits to hyberbolic equilibria in a Hamiltonian system, via the Hamilton--Jacobi equation	2011	Amadeu Delshams Pere Gutiérrez Juan Ramón Pacha Andújar
+ PDF Chat	Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel’nikov method	2010	Amadeu Delshams Pere Gutiérrez Oksana Koltsova Juan Ramón Pacha Andújar
+ PDF Chat	Exponentially Small Splitting of Separatrices for Whiskered Tori in Hamiltonian Systems	2005	Amadeu Delshams Pere Gutiérrez
+ PDF Chat	Homoclinic orbits to invariant tori near a homoclinic orbit to center–center–saddle equilibrium	2005	Oksana Koltsova L. M. Lerman Amadeu Delshams Pere Gutiérrez
+	Exponentially small splitting for whiskered tori in Hamiltonian systems: continuation of transverse homoclinic orbits	2004	Amadeu Delshams Pere Gutiérrez
+	Exponentially Small Estimates for Kam Theorem Near an Elliptic Equilibrium Point	1999	Amadeu Delshams Pere Gutiérrez
+	Estimates on Invariant Tori near an Elliptic Equilibrium Point of a Hamiltonian System	1996	Amadeu Delshams Pere Gutiérrez
+	Effective Stability and KAM Theory	1996	Amadeu Delshams Pere Gutiérrez
+	Nekhoroshev and KAM Theorems Revisited via a Unified Approach	1994	Amadeu Delshams Pere Gutiérrez

Common Coauthors

Coauthor	Papers Together
Amadeu Delshams	23
Marina Gonchenko	12
Juan Ramón Pacha Andújar	4
Oksana Koltsova	2
L. M. Lerman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Biasymptotic solutions of perturbed integrable Hamiltonian systems	1994	L. H. Eliasson	10
+ PDF Chat	A new method for measuring the splitting of invariant manifolds	2001	David Sauzin	8
+	Exponentially small splitting for whiskered tori in Hamiltonian systems: continuation of transverse homoclinic orbits	2004	Amadeu Delshams Pere Gutiérrez	8
+	Splitting of Separatrices for the Chirikov Standard Map	2005	V. F. Lazutkin	7
+	Averaging under Fast Quasiperiodic Forcing	1994	Carles Simö	7
+	A formal approximation of the splitting of separatrices in the classical Arnold's example of diffusion with two equal parameters	2001	Carles Simö Clàudìa Valls	6
+	Integrability of hamiltonian systems on cantor sets	1982	Jürgen Pöschel	6
+ PDF Chat	Exponentially Small Splitting of Separatrices for Whiskered Tori in Hamiltonian Systems	2005	Amadeu Delshams Pere Gutiérrez	6
+	A renormalization group for Hamiltonians, with applications to KAM tori	1999	Hans Koch	6
+ PDF Chat	Exponentially Small Splitting of Separatrices for Perturbed Integrable Standard-Like Maps	1998	Amadeu Delshams Rafael Ramírez-Ros	6
+	Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results	2012	Inmaculada Baldomá Ernest Fontich Marcel Guàrdia Tere M. Seara	6
+ PDF Chat	Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies	2014	Pere Gutiérrez Marina Gonchenko Amadeu Delshams	5
+ PDF Chat	MEL'NIKOV'S APPROXIMATION DOMINANCE: SOME EXAMPLES	1999	Giovanni Gallavotti Giuseppe Gentile Vieri Mastropietro	5
+ PDF Chat	An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum	1992	Amadeu Delshams Tere M. Seara	5
+	On the Stability of the Center for Time Periodic Perturbations	1963	V. K. Mel’nikov	5
+ PDF Chat	Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation	2012	Marcel Guàrdia Tere M. Seara	5
+	Melnikov method and exponentially small splitting of separatrices	1997	Vassili Gelfreich	5
+	Canonical perturbation theory via simultaneous approximation	1992	Pierre Lochak	4
+	Topologically crossing heteroclinic connections to invariant tori	2003	Marian Gidea Clark Robinson	4
+	The separation of motions in systems with rapidly rotating phase	1984	А. И. Нейштадт	4
+ PDF Chat	Topological methods in the instability problem of Hamiltonian systems	2006	Marian Gidea Rafael de la Llave	4
+	Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems	1998	M. Rudnev Stephen Wiggins	4
+ PDF Chat	TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW	1994	Giovanni Gallavotti	4
+	Erratum to: Etude des surfaces asymptotiques	1890	H. Poincaré	3
+ PDF Chat	Renormalization of flows on the multidimensional torus close to a<i>KT</i>frequency vector	2002	João Lopes Dias	3
+	Nekhoroshev estimates for quasi-convex hamiltonian systems	1993	Jürgen Pöschel	3
+	Examples of Hamiltonian systems with transversal homoclinic orbits	1995	Vassili Gelfreich D. K. Sharomov	3
+ PDF Chat	Separatrix Splitting for Systems with Three Time Scales	1999	Giovanni Gallavotti Guido Gentile Vieri Mastropietro	3
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	3
+ PDF Chat	Twistless KAM tori	1994	Giovanni Gallavotti	3
+	Integrability of Hamiltonian systems on cantor sets	1982	JÃ ⁄ rgen PÃ¶schel	3
+ PDF Chat	Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type	2014	Amadeu Delshams Marina Gonchenko Pere Gutiérrez	3
+	Estimates in the kolmogorov theorem on conservation of conditionally periodic motions	1981	А. И. Нейштадт	3
+	Superexponential stability of KAM tori	1995	Alessandro Morbidelli Antonio Giorgilli	3
+ PDF Chat	Homoclinic orbits to invariant tori near a homoclinic orbit to center–center–saddle equilibrium	2005	Oksana Koltsova L. M. Lerman Amadeu Delshams Pere Gutiérrez	3
+	Transversal Homoclinic Orbits in an Integrable System	1978	Robert L. Devaney	3
+ PDF Chat	Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom	2002	C. Chandré	2
+	Multiphase averaging for classical systems with applications to the adiabatic theorems	1988	Claude Meunier Pierre Lochak	2
+ PDF Chat	Galoisian approach to integrability of Schrödinger equation	2011	Primitivo B. Acosta-Humánez Juan J. Morales-Ruiz Jacques-Arthur Weil	2
+	Estabilitat efectiva i tors invariants de sistemes hamiltonians quasi-integrables	1995	Pere Gutiérrez i Serrés	2
+	A Variational Construction of Chaotic Trajectories for a Reversible Hamiltonian System	1998	Sergey Bolotin Paul H. Rabinowitz	2
+	The analytic invariants of an area‐preserving mapping near a hyperbolic fixed point	1956	Jürgen Moser	2
+	Lie series method for vector fields and Hamiltonian perturbation theory	1990	Francesco Fass�	2
+	Effective Stability and KAM Theory	1996	Amadeu Delshams Pere Gutiérrez	2
+	A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems	1985	Giancarlo Benettin L. Galgani Antonio Giorgilli	2
+ PDF Chat	Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations	1988	Philip Holmes Jerrold E. Marsden Jürgen Scheurle	2
+ PDF Chat	A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model	2006	Amadeu Delshams Rafael de la Llave Tere M. Seara	2
+	Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian	1992	Pierre Lochak А. И. Нейштадт	2
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	2
+ PDF Chat	The inner equation for one and a half degrees of freedom rapidly forced Hamiltonian systems	2006	Inmaculada Baldomá	2