We prove the existence of chaotic dynamics in a simple periodically perturbed Hamiltonian system of the form x''+q(t)f(x) = 0, where q(t) is a periodic function of constant sign. Applications are given to a pendulum equation with variable length.
Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length
ZANOLIN, Fabio
2009-01-01
Abstract
We prove the existence of chaotic dynamics in a simple periodically perturbed Hamiltonian system of the form x''+q(t)f(x) = 0, where q(t) is a periodic function of constant sign. Applications are given to a pendulum equation with variable length.File in questo prodotto:
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