CHAOS FROM A HYSTERESIS AND SWITCHED CIRCUIT

Authors
SAITO T NAKAGAWA S
Citation
T. Saito et S. Nakagawa, CHAOS FROM A HYSTERESIS AND SWITCHED CIRCUIT, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 353(1701), 1995, pp. 47-57
Citations number
14
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Philosophical transactions-Royal Society of London. Physical sciences and engineering → ACNP
ISSN journal
09628428
Volume
353
Issue
1701
Year of publication
1995
Pages
47 - 57
Database
ISI
SICI code
0962-8428(1995)353:1701<47:CFAHAS>2.0.ZU;2-2
Abstract
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 discover ed period-doubling bifurcation with symmetry breaking. Some of theoret ical results are verified by laboratory measurements.