Open AccessDynamics of the Lorenz system under quasiperiodic driving
Author(s) -
He Wen-Ping,
Guolin Feng,
Xiaolong Gao,
Chou Jifan
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.3175
Subject(s) - quasiperiodic function , attractor , amplitude , physics , quasiperiodicity , torus , phase space , forcing (mathematics) , parameter space , lorenz system , invariant (physics) , classical mechanics , statistical physics , mathematical physics , mathematical analysis , mathematics , quantum mechanics , geometry , condensed matter physics , atmospheric sciences
We have investigated the dynamics of the Lorenz system under quasiperiodic driving. When the forcing amplitude is increased to certain critical valuethe dynamics changes fundamentally. Therefore a new mechanism for the creation of the strange nonchaotic attractor is advanced in this paper. When the forcing amplitude is increased, the strange attractor is replaced by a strange nonchaotic attractor, eventually the phase space is suppressed into an invariant quasiperiodic torus. Numerical results show that the critical amplitude of the force is roughly proportional to the Rayleigh parameter, but slightly influenced by its frequency.