MODIFYING THE ONSET OF HOMOCLINIC CHAOS - APPLICATION TO A BISTABLE POTENTIAL

被引：26

作者：

CICOGNA, G

FRONZONI, L

机构：

[1] Dipartimento di Fisica, Università di Pisa, 56126 Pisa

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.47.4585

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 analyze, by means of the Melnikov method, the possibility of modifying the threshold of homoclinic chaos in general one-dimensional problems, by introducing small periodic resonant modulations. We indicate in particular a prescription in order to increase the threshold (i.e., to prevent chaos), and consider then its application to the bistable Duffing-Holmes potential. All results are confirmed both by numerical and by analog simulations, showing that small modulations can in fact sensibly influence the onset of chaos.

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页码：4585 / 4588

页数：4

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