Differential and Integral Equations

Homoclinic solutions of quasiperiodic Lagrangian systems

M. L. Bertotti and S. V. Bolotin

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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

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

First available in Project Euclid: 12 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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

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