Existence of multiple cycles in a van der Pol system with hysteresis in the inductance

Journal of Physics: Conference Series

Volumn 55, Issue 1, 2006, Pages 1-11

  Appelbe, B ^a  

^a UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947621534     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/55/1/001     Document Type: Conference Paper

References (8)

1. Kuznetsov Y 2004 Elements of Applied Bifurcation Theory (Springer-Verlag)
2. Bertotti G and Mayergoyz I (ed) 2006 The Science of Hysteresis vol 1 (Elsevier)
3. van der Pol B 1926 On relaxation oscillations Phil. Mag. 2 (7)
4. Kennedy M P and Chua L O 1986 Van der Pol and chaos IEEE Trans. Circuits Syst. CAS-33 (10)
5. Jian-Xue X and Jun J 1996 The global bifurcation characteristics of the forced van der Pol oscillator Chaos, Solitons Fractals 7 (1)
6. Flynn D and Rasskazov O 2005 On the integration of an ODE involving the derivative of a Preisach nonlinearity J. Phys.: Conf. Ser. vol 22 M P Mortell, R E O'Malley, A Pokrovski and V Sobolev p 43-55
7. Mayergoyz I 2003 Mathematical Models of Hysteresis and Their Applications (Elsevier)
8. Lindfield G and Penny J 2000 Numerical Methods using MATLAB (Prentice Hall)