CONFIRMATION OF THE AFRAIMOVICH-SHILNIKOV TORUS-BREAKDOWN THEOREM VIA A TORUS CIRCUIT

被引：31

作者：

ANISHCHENKO, VS ^{[1
]}

SAFONOVA, MA ^{[1
]}

CHUA, LO ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,ELECTR RES LAB,BERKELEY,CA 94720

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1993年 / 40卷 / 11期

关键词：

D O I：

10.1109/81.251815

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The Afraimovich-Shilnikov theorem on 2-D torus breakdown is formulated and used to carry out a detailed numerical investigation of the bifurcation routes from the torus to chaos in a third-order torus circuit. Three scenarios of transition to chaos due to torus breakdown take place in this circuit in complete agreement with the theorem: 1) Period-doubling bifurcations of the phase-locked limit cycles 2) saddle-node bifurcation in the presence of a homoclinic structure 3) soft transition due to the loss of torus smoothness.

引用

页码：792 / 800

页数：9

共 27 条

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