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.
Generic-type results for chaotic dynamics in equations with periodic forcing terms / Elena Bosetto, Enrico Serra, Susanna Terracini. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 180:1(2002), pp. 99-124. [10.1006/jdeq.2001.4053]
Generic-type results for chaotic dynamics in equations with periodic forcing terms
E. Serra;
2002
Abstract
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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