A variational approach to chaotic dynamics in periodically forced nonlinear oscillators |
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Authors: | Elena Bosetto Enrico Serra |
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Affiliation: | Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy |
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Abstract: | We prove that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics. The approach is based on the construction of multibump type heteroclinic solutions to periodic orbits by the use of global variational methods. |
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