Inducing chaos by resonant perturbations: Theory and experiment

被引:27
作者
Lai, YC [1 ]
Kandangath, A
Krishnamoorthy, S
Gaudet, JA
de Moura, APS
机构
[1] Arizona State Univ, Dept Elect Engn, Tempe, AZ 85287 USA
[2] Arizona State Univ, Dept Math & Stat, Tempe, AZ 85287 USA
[3] USAF, Res Lab, AFRL DEHE, Kirtland AFB, NM 87117 USA
[4] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
关键词
D O I
10.1103/PhysRevLett.94.214101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a scheme to induce chaos in nonlinear oscillators that either are by themselves incapable of exhibiting chaos or are far away from parameter regions of chaotic behaviors. Our idea is to make use of small, judiciously chosen perturbations in the form of weak periodic signals with time-varying frequency and phase, and to drive the system into a hierarchy of nonlinear resonant states and eventually into chaos. We demonstrate this method by using numerical examples and a laboratory experiment with a Duffing type of electronic circuit driven by a phase-locked loop. The phase-locked loop can track the instantaneous frequency and phase of the Duffing circuit and deliver resonant perturbations to generate robust chaos.
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页数:4
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