A global condition for periodic duffing-like equations

Authors
Montecchiari, P Nolasco, M Terracini, S
Citation
P. Montecchiari et al., A global condition for periodic duffing-like equations, T AM MATH S, 351(9), 1999, pp. 3713-3724
Citations number
20
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
351
Issue
9
Year of publication
1999
Pages
3713 - 3724
Database
ISI
SICI code
0002-9947(199909)351:9<3713:AGCFPD>2.0.ZU;2-Y
Abstract
We study Duffing-like equations of the type q = q-alpha(t)W' (q), with alph a is an element of C( R, R) periodic. We prove that if the stable and unsta ble manifolds to the origin do not coincide, then the system exhibits posit ive topological entropy.