CHAOS FROM A HYSTERESIS AND SWITCHED CIRCUIT

被引：43

作者：

SAITO, T

NAKAGAWA, S

机构：

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1995年 / 353卷 / 1701期

关键词：

D O I：

10.1098/rsta.1995.0089

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper considers a simple piecewise linear hysteresis circuit. We define one-dimensional return map and derive its analytic formula. It enables us to give a sufficient condition for chaos generation and to analyse bifurcation phenomena rigorously. Especially, we have discovered period-doubling bifurcation with symmetry breaking. Some of theoretical results are verified by laboratory measurements.

引用

页码：47 / 57

页数：11

共 14 条

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