We announce that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics for a dense set of forcing terms in a space of periodic functions with zero mean value. The approach is based on global variational methods.
Bosetto, E., Serra, E., Terracini, S. (2001). Density of chaotic dynamics in periodically forced pendulum-type equations. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 12, 107-113.
Density of chaotic dynamics in periodically forced pendulum-type equations
TERRACINI, SUSANNA
2001
Abstract
We announce that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics for a dense set of forcing terms in a space of periodic functions with zero mean value. The approach is based on global variational methods.
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