Cascade of homoclinic orbits for Hamiltonian systems: further properties

1 November 1993

journal article
Published by IOP Publishing in Nonlinearity

Vol. 6 (6) , 1091-1092
https://doi.org/10.1088/0951-7715/6/6/016

Abstract

In this paper, we prove that the symmetric homoclinic orbits found by A.R. Champneys and J.F. Toland (1993) for a family of autonomous Hamiltonian systems are well arranged. Moreover, we show that if the nonlinearity is odd, then there exist infinitely many odd homoclinic orbits.

Keywords

HOMOCLINIC ORBITS
AUTONOMOUS
NONLINEARITY
HAMILTONIAN
SYMMETRIC
INFINITELY
A.R
TOLAND
CHAMPNEYS

This publication has 1 reference indexed in Scilit:

Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems
Nonlinearity, 1993