Ferroresonance circuit exhibiting chaotic phenomenon: Rule extraction from nonlinear systems

Issue title: Special Volume: Proceedings of the eleventh International Symposium on Applied Electromagnetics and Mechanics ISEM-Versailles ISEM 03

Article type: Research Article

Authors: Endo, Hisashi^{a; *} | Marinova, Iliana^b | Hayano, Seiji^a | Saito, Yoshifuru^a

Affiliations: [a] Hosei University, 3-7-2 Kajino,Koganei, Tokyo 184-8584, Japan | [b] Department of Electrical Apparatus, Technical University of Sofia, Sofia 1756, Bulgaria

Correspondence: [*] Corresponding author. Tel.: +81 42 387 6200; Fax: +81 42 387 6200; E-mail: endo@saito-lab.com

Abstract: This paper investigates a rule of nonlinear systems exhibiting chaotic phenomena. A typical ferroresonant circuit is studied by the Chua-type magnetization model representing magnetodynamics. The nonlinear calculation with state variable equation is carried out to clarify the ferroresonant phenomenon. The characteristic values of the state transition matrix are also calculated in each of iteration steps. It reveals that they have no hysteretic properties even though chaotic behavior is exhibiting.

DOI: 10.3233/JAE-2004-573

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 19, no. 1-4, pp. 257-261, 2004