On homoclinic orbits to center manifolds of elliptic–hyperbolic equilibria in Hamiltonian systems-Reference-Cited by-同舟云学术

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On homoclinic orbits to center manifolds of elliptic–hyperbolic equilibria in Hamiltonian systems

Published:2016-08-26 Issue:10 Volume:29 Page:3148-3173
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Giles W,Lamb J S W,Turaev D

Funder

Russian science Foundation

Royal Society

Seventh Framework Programme

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://stacks.iop.org/0951-7715/29/i=10/a=3148/pdf

Reference26 articles.

1. Exponential dichotomies, heteroclinic orbits, and Melnikov functions

2. Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria

3. Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems

4. Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel’nikov method

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1. Solitons and cavitons in a nonlocal Whitham equation;Communications in Nonlinear Science and Numerical Simulation;2021-02

2. Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature *;Classical and Quantum Gravity;2020-09-10

3. Vortex Pairs on the Triaxial Ellipsoid: Axis Equilibria Stability;Regular and Chaotic Dynamics;2019-01

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