CHUA CIRCUIT - RIGOROUS RESULTS AND FUTURE-PROBLEMS

被引：31

作者：

SHILNIKOV, LP

机构：

[1] Research Institute for Applied Mathematics and Cybernetics, Nizhny, Novgorod, Russia

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1993年 / 40卷 / 10期

关键词：

D O I：

10.1109/81.246153

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：

This paper provides a mathematician's perspective on Chua's circuit as a paradigm for chaos. It explains why Chua's circuit is of interest not only to radio physicists but to nonlinear scientists from other disciplines as well. It points out why the double-scroll Chua's attractor, which has been proved rigorously to be chaotic in [5] in the sense of the Shil'nikov theorem, is fundamentally different and mathematically much more complicated than that of the Lorenz attractor.

引用

页码：784 / 786

页数：3

共 12 条

[1]

AFRAIMOVICH VS, 1983, DYNAMICS TURBULENCE

[2]

CHUA LO, 1992, AEU-INT J ELECTRON C, V46, P250

[3]

CHUA LO, 1993, IEICE T FUNDAMENTA E, V76, pA704

[4] ON MODELS WITH NON-ROUGH POINCARE HOMOCLINIC CURVES [J].

GONCHENKO, SV ;

SHILNIKOV, LP ;

TURAEV, DV .

PHYSICA D, 1993, 62 (1-4) :1-14

[5]

GONCHENKO SV, IN PRESS CHAOS

[6]

MADAN R, 1993, J CIRCUITS SYST CO 1, V3

[7]

MADAN RN, 1993, J CIRCUITS SYST CO 2

[8]

Ovsyannikov I.M., 1991, MAT SBORNIK, V182, P1043

[9]

Shil'nikov L. P., 1993, Journal of Circuits, Systems and Computers, V3, P1, DOI 10.1142/S0218126693000022

[10]

SHILNIKOV AL, 1993, INT J BIFURCATION CH, V3

← 1 2 →