SUPPRESSION OF CHAOS BY NONRESONANT PARAMETRIC PERTURBATIONS

被引：65

作者：

KIVSHAR, YS

RODELSPERGER, F

BENNER, H

机构：

[1] AUSTRALIAN NATL UNIV,CTR OPT SCI,CANBERRA,ACT 0200,AUSTRALIA

[2] TH DARMSTADT,INST FESTKORPERPHYS EXPTL PHYS,W-6100 DARMSTADT,GERMANY

来源：

PHYSICAL REVIEW E | 1994年 / 49卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.49.319

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

It is shown analytically and numerically that the suppression of chaos may be effectively achieved by applying a high-frequency parametric force to a chaotic dynamical system. Such a periodic nonresonant force may decrease or even completely eliminate chaos. Taking the Duffing oscillator as a concrete but rather general example, an analytical approach is elaborated to demonstrate how such a suppression of chaos may be understood in the framework of the effective ''averaged'' nonlinear equation for a slowly varying component of the oscillation amplitude. As follows-from our numerical simulations, the suppression of chaos may be observed not only at large amplitudes of the parametric force but also at smaller amplitudes, showing a decay of the leading Lyapunov exponent within certain amplitude-frequency ''windows.''

引用

页码：319 / 324

页数：6

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