NEIMARK BIFURCATION, ALMOST-PERIODICITY AND CHAOS IN THE FORCED VANDERPOL-DUFFING SYSTEM IN THE NEIGHBORHOOD OF THE PRINCIPAL RESONANCE

Authors
SZEMPLINSKASTUPNICKA W RUDOWSKI J
Citation
W. Szemplinskastupnicka et J. Rudowski, NEIMARK BIFURCATION, ALMOST-PERIODICITY AND CHAOS IN THE FORCED VANDERPOL-DUFFING SYSTEM IN THE NEIGHBORHOOD OF THE PRINCIPAL RESONANCE, Physics letters. A, 192(2-4), 1994, pp. 201-206
Citations number
20
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
192
Issue
2-4
Year of publication
1994
Pages
201 - 206
Database
ISI
SICI code
0375-9601(1994)192:2-4<201:NBAACI>2.0.ZU;2-Q
Abstract
The occurrence of chaotic motion in the forced van der Pol-Duffing osc illator in close neighbourhood of the principal resonance is considere d and interpreted in connection with subcritical Neimark bifurcation. Computer simulations and approximate analytical analysis confirm that the chaotic motion region forms a transition zone between two regular motions: the T-periodic and almost-periodic oscillations.