Boundedness and unboundedness of solutions for reversible oscillators at resonance

Citation
M. Kunze et al., Boundedness and unboundedness of solutions for reversible oscillators at resonance, NONLINEARIT, 14(5), 2001, pp. 1105-1122
Citations number
36
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
0951-7715 → ACNP
Volume
14
Issue
5
Year of publication
2001
Pages
1105 - 1122
Database
ISI
SICI code
0951-7715(200109)14:5<1105:BAUOSF>2.0.ZU;2-L
Abstract
We consider the problem of boundedness of solutions for the oscillator x " + f (x)x' + n(2)x + phi (x) = p(t). Since the system in general is non-Hamiltonian, we have to introduce revers ibility assumptions to apply suitable twist theorems, for reversible maps w ith small twist. We then obtain a sharp result concerning the boundedness o f solutions.