Open AccessChaotic behavior of rapidly oscillating Lagrangian systems
Author(s) -
Francesca Alessio,
Vittorio Coti Zelati,
Piero Montecchiari
Publication year - 2004
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2004.10.687
Subject(s) - omega , chaotic , lagrangian , limit (mathematics) , physics , mathematical physics , function (biology) , periodic function , pure mathematics , mathematical analysis , mathematics , quantum mechanics , computer science , artificial intelligence , evolutionary biology , biology
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