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
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页码：47 / 57
页数：11
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