It is well known that a second order, pendulum-like, Hamiltonian systems exhibits, under a slowly oscillating periodic forcing, a chaotic behavior. In the paper we prove that also for some special class of rapidly oscillating quasi-periodic forcing such systems have chaotic behavior (more precisely infinitely many multi-bump solutions). The proofs are based on critical point theory.
CHAOTIC BEHAVIOR OF RAPIDLY OSCILLATING LAGRANGIAN SYSTEMS / COTI ZELATI, Vittorio; F., Alessio; P., Montecchiari. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 10:3(2004), pp. 686-707. [10.3934/dcds.2004.10.687]
CHAOTIC BEHAVIOR OF RAPIDLY OSCILLATING LAGRANGIAN SYSTEMS
COTI ZELATI, VITTORIO;
2004
Abstract
It is well known that a second order, pendulum-like, Hamiltonian systems exhibits, under a slowly oscillating periodic forcing, a chaotic behavior. In the paper we prove that also for some special class of rapidly oscillating quasi-periodic forcing such systems have chaotic behavior (more precisely infinitely many multi-bump solutions). The proofs are based on critical point theory.File | Dimensione | Formato | |
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