Differential and Integral Equations

Homoclinic solutions of quasiperiodic Lagrangian systems

Abstract

We consider quasiperiodic positive definite Lagrangian systems and establish the existence of one or more solutions homoclinic (namely asymptotic as $t\to\pm\infty$) to a quasiperiodic solution. These results are obtained by means of a variational approach. An application is carried out to quasiperiodically perturbed Lagrangian systems.

Article information

Source
Differential Integral Equations, Volume 8, Number 7 (1995), 1733-1760.

Dates
First available in Project Euclid: 12 May 2013

https://projecteuclid.org/euclid.die/1368397754

Mathematical Reviews number (MathSciNet)
MR1347977

Zentralblatt MATH identifier
0827.34037

Subjects
Primary: 58F27
Secondary: 34C37: Homoclinic and heteroclinic solutions 58F05 58F15 70H35

Citation

Bertotti, M. L.; Bolotin, S. V. Homoclinic solutions of quasiperiodic Lagrangian systems. Differential Integral Equations 8 (1995), no. 7, 1733--1760. https://projecteuclid.org/euclid.die/1368397754