Hopf bifurcation in a van der Pol type oscillator with magnetic hysteresis

Physica B: Condensed Matter

Volumn 403, Issue 2-3, 2008, Pages 301-304

  Appelbe, B ^a   Rachinskii, D ^a   Zhezherun, A ^a  

^a UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Hopf bifurcation; Hysteresis; Preisach model; van der Pol oscillator

Indexed keywords

MAGNETIC HYSTERESIS; MATHEMATICAL MODELS;

GLOBAL BEHAVIOUR; INDUCTANCE ELEMENTS; PREISACH MODEL; VAN DER POL OSCILLATOR;

HOPF BIFURCATION;

EID: 37349026876     PISSN: 09214526     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physb.2007.08.034     Document Type: Article

References (8)

1. Mayergoyz I.D. Mathematical Models of Hysteresis and their Applications: Electro-magnetism (2003), Academic Press, New York
2. Rezaei-Zare A., et al. IEEE Trans. Power Deliv. 22 (2007) 919
3. Krasnosel'skii M.A., and Kozjakin V.S. Nonlinear Anal. Theory Methods Appl. 11 (1987) 149
4. Marsden J.E., and McCracken M. The Hopf Bifurcation and its Applications (1976), Springer, Berlin
5. Krasnosel'skii A.M., and Krasnosel'skii M.A. Sov. Math. Dokl. 32 (1985) 14
6. E. Bouse, A. Krasnosel'skii, A. Pokrovskii, D. Rachinskii, Chaos, accepted for publication.
7. Krasnosel'skii A., and Rachinskii D. Differential Equations 39 (2003) 1690
8. Brokate M., and Sprekels J. Hysteresis and Phase Transitions (1994), Springer, Berlin