Results 41 to 50 of about 1,457 (83)

Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms

, 2010
We prove that any diffeomorphism of a compact manifold can be approximated in topology C1 by another diffeomorphism exhibiting a homoclinic bifurcation (a homoclinic tangency or a heterodimensional cycle) or by one which is essentially hyperbolic (it has
Crovisier, Sylvain, Pujals, Enrique R.
core   +1 more source

Hyperboliity versus partial-hyperbolicity and the transversality-torsion phenomenon

, 2006
In this paper, we describe a process to create hyperbolicity in the neighbourhood of a homoclinic orbit to a partially hyperbolic torus for three degrres of freedom Hamiltonian systems: the transversality-torsion phenomenon.Comment: 10 ...
Cresson, Jacky, Guillet, Christophe
core   +2 more sources

Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]

Proc Natl Acad Sci U S A, 2023
Pinsky T.
europepmc   +1 more source

Pseudo-nullclines enable the analysis and prediction of signaling model dynamics. [PDF]

Front Cell Dev Biol, 2023
Marrone JI, Sepulchre JA, Ventura AC.
europepmc   +1 more source

Chaotic-Like Transfers of Energy in Hamiltonian PDEs. [PDF]

Commun Math Phys, 2021
Giuliani F, Guardia M, Martin P, Pasquali S.   +3 more
europepmc   +1 more source

Classification of bursting patterns: A tale of two ducks. [PDF]

PLoS Comput Biol, 2022
Desroches M, Rinzel J, Rodrigues S.
europepmc   +1 more source

Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. [PDF]

J Appl Comput Topol, 2023
Lipiński M, Kubica J, Mrozek M, Wanner T.   +3 more
europepmc   +1 more source

Arnold's Diffusion: from the a priori unstable to the a priori stable case

, 2012
We expose some selected topics concerning the instability of the action variables in a priori unstable Hamiltonian systems, and outline a new strategy that may allow to apply these methods to a priori stable ...
Bernard, Patrick
core  

About analytic non integrability

, 2005
We prove several general results on non existence of analytic first integrals for analytic diffeomorphisms possessing a hyperbolic fixed point.Comment: 14 ...
Cresson, Jacky
core   +2 more sources

The phase space geometry underlying roaming reaction dynamics. [PDF]

J Math Chem, 2018
Krajňák V, Waalkens H.
europepmc   +1 more source