Strongly resonant bifurcations of nonlinearly coupled van der pol-duffing oscillator

Applied Mathematics and Mechanics (English Edition)

Volumn 20, Issue 1, 1999, Pages 68-75

  Chunbiao, Gan ^a   Qishao, Lu ^a   Kelei, Huang ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Frequency locking; Nonlinearly coupling; multi scale method; Quasiperiodic

Indexed keywords

BIFURCATION (MATHEMATICS); NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; RESONANCE;

MULTI SCALE METHOD; NONLINEAR COUPLING; STRONGLY RESONANT BIFURCATION;

VIBRATIONS (MECHANICAL);

EID: 0032628045     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02459275     Document Type: Article

References (9)

1. Nayfeh A H. Perturbation Methods [M]. New York : Wiley-Interscience, 1973
2. Nayfeh A H, Mook D T. Nonlinear Oscillations [M]. New York : Wiley-Interscience, 1979
3. Kevorkian J, Cole J D. Perturbation Methods in Applied Mathematics [M]. Springer-Verlag, World Publishing Corporation, 1985
4. Bogaevski V N, Povzner A. Algebra Methods in Nonlinear Perturbation Theory [M]. Springer-Verlag, World Publishing Corporation, 1990
5. Cheung Y K, Chen S H, Lau S L. A modified Lindstedt-Poincare metheod for certain strongly nonlinear oscillators [J]. Int J Nonlinear Mech, 1991, 26(2) :367-378
6. Chen S H, Cheung Y K. A modified Lindstedt-Poincare method for a strongly nonlinear two degree-of-freedom system [J]. J S V, 1996, 193(4) :751-762
7. Chen H S Y , Chung K W , Xu Z . A perturbation - incremental method for strongly, nonlinear oscillators [J]. Int J Nonlinear Mech, 1996, 26(1):59-72
8. Guckenheimer J, Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields[M]. Springer-Verlag, World Publishing Corporation, 1985
9. Li Bingxi, Periodic Orbits of High-Dimensional dynamical Systemes [M]. Theories and Applications, 1984 (in Chinese)