Complex normal form for strongly non-linear vibration systems exemplified by Buffing-van der Pol equation

Journal of Sound and Vibration

Volumn 213, Issue 5, 1998, Pages 907-914

  Leung, A Y T ^a   Zhang, Q C ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b TIANJIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004875004     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1561     Document Type: Article

References (7)

1. A. H. NAYFEH and D. T. MOOK 1979 Nonlinear Oscillations. New York: John Wiley & Sons.
2. L. JEZEQUEL and C. H. LAMARQUE 1991 Journal of Sound and Vibration 149, 429-459. Analysis of nonlinear dynamical systems by the normal form theory.
3. A. H. NAYFEH 1993 Method of Normal Forms. New York: John Wiley & Sons.
4. A. Y. T. LEUNG and ZHANG QICHANG 1994 Shock and Vibration 1, 233-239. Normal form analysis of Hopf bifurcation exemplified by Buffing's equation.
5. A. Y. T. LEUNG and T. GE 1995 Shock and Vibration 2, 307-319. An algorithm for higher order Hopf normal form.
6. J. GUCKENHEIMER and P. HOLMES 1983 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag.
7. D. WANG 1990 Advances in Mathematics 19, 38-71. An introduction to the normal form theory of ordinary differential equations.