Multiple homoclinic orbits for a class of second order perturbed Hamiltonian systems

Addolorata Salvatore

doi:10.3934/proc.2003.2003.778

Article Contents

2003, Volume 2003: 778-787. Doi: 10.3934/proc.2003.2003.778 open access

This issue Previous Article A global stability result for an N-species Lotka-Volterra food chain system with distributed time delays Next Article Compactified isospectral sets of complex tridiagonal Hessenberg matrices

Multiple homoclinic orbits for a class of second order perturbed Hamiltonian systems

Addolorata Salvatore^1,

1.
Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona 4, 70125 Bari

Received: August 31, 2002

Revised: February 28, 2003

Published: March 2003

Abstract Related Papers Cited by

Abstract

We look for homoclinic orbits of the system of differential equations

$- dot(q) + L(t)q = V_q(t, q) + g(t)$

where $V : R \times R^N (\to) R$ is superquadratic and even in $q$ and $L(t)$ is a a symmetric, positive definite matrix. If $g(t) != 0$, in spite of the loss of symmetry a suitable perturbative method allows one to state the existence of infinitely many solutions of the problem.

Keywords:

Mathematics Subject Classification: 34C37, 58E05, 70H05.

Citation:

Article Metrics

HTML views() PDF downloads(63) Cited by(0)

Multiple homoclinic orbits for a class of second order perturbed Hamiltonian systems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Multiple homoclinic orbits for a class of second order perturbed Hamiltonian systems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content