RESHAPING-INDUCED CHAOS SUPPRESSION

被引：12
|
作者：
RODELSPERGER, F [1 ]
KIVSHAR, YS [1 ]
BENNER, H [1 ]
机构：
[1] AUSTRALIAN NATL UNIV,CTR OPT SCI,CANBERRA,ACT 0200,AUSTRALIA
来源：
PHYSICAL REVIEW E | 1995年 / 51卷 / 02期
关键词：
D O I：
10.1103/PhysRevE.51.869
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：
We discuss the route for eliminating chaos in nonlinear oscillations by changing only the shape of a periodic force. We consider the Duffing oscillator forced with the Jacobi elliptic function sn and, applying a simple averaging technique, show that the phenomenon of chaos suppression due to reshaping of the driving force may be easily explained as an effect solely arising from the change of the effective amplitude of the first harmonic in the Fourier series expansion of the elliptic function. This conclusion is clearly confirmed by direct numerical simulations. © 1995 The American Physical Society.
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收藏
页码：869 / 872
页数：4
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