PERIODICALLY KICKED DUFFING OSCILLATOR AND NONATTRACTING CHAOTIC SETS

Authors
FRANASZEK M
Citation
M. Franaszek, PERIODICALLY KICKED DUFFING OSCILLATOR AND NONATTRACTING CHAOTIC SETS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 3927-3929
Citations number
15
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
5
Year of publication
1994
Part
A
Pages
3927 - 3929
Database
ISI
SICI code
1063-651X(1994)49:5<3927:PKDOAN>2.0.ZU;2-U
Abstract
The Duffing oscillator perturbed periodically by a sequence of short k icks of a constant strength is investigated. It appears that long time behavior of a such system may be connected with a nonattracting chaot ic set which exists in a free unperturbed system. This set corresponds to the unstable periodic orbits (placed on the basins boundaries) and their unstable manifolds.