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.
Citation
M. L. Bertotti. S. V. Bolotin. "Homoclinic solutions of quasiperiodic Lagrangian systems." Differential Integral Equations 8 (7) 1733 - 1760, 1995. https://doi.org/10.57262/die/1368397754
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