Generic-Type Results for Chaotic Dynamics in Equations with Periodic Forcing Terms

Generic-Type Results for Chaotic Dynamics in Equations with Periodic Forcing Terms

We prove that a class of equations containing the classical periodically forced pendulum problem displays the main features of chaotic dynamics for a set of forcing terms open and dense in suitable spaces. The approach is based on global variational methods.

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Veröffentlicht in:Journal of Differential Equations 2002-03, Vol.180 (1), p.99-124
Hauptverfasser: Bosetto, Elena, Serra, Enrico, Terracini, Susanna
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that a class of equations containing the classical periodically forced pendulum problem displays the main features of chaotic dynamics for a set of forcing terms open and dense in suitable spaces. The approach is based on global variational methods.
ISSN:0022-0396
1090-2732
DOI:10.1006/jdeq.2001.4053