Subharmonic bifurcations in a perturbed nonlinear oscillation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 61, Issue 6, 2005, Pages 1057-1091

  He, Zhirong ^a   Zhang, Weinian ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

Bifurcation manifold; Homoclinic orbit; Liapunov Schmidt reduction; Periodic orbit; Subharmonic bifurcation

Indexed keywords

FUNCTIONS; HAMILTONIANS; NONLINEAR SYSTEMS; OSCILLATIONS; PERTURBATION TECHNIQUES; SET THEORY;

BIFURCATION MANIFOLD; HOMOCLINIC ORBITS; LIAPUNOV-SCHMIDT REDUCTION; PERIODIC ORBITS; SUBHARMONIC BIFURCATIONS;

BIFURCATION (MATHEMATICS);

EID: 15944395721     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.01.095     Document Type: Article

References (8)

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3. S.N. Chow, J.K. Hale, and J. Mallet-Paret An example of bifurcation to homoclinic orbits J. Differential Equations 37 1980 351 371
4. J. Guckenheimer, and P. Holmes Nonlinear Oscillation, Dynamical Systems, and Bifurcations of Vector Fields 1983 Springer New York
5. J.K. Hale Ordinary Differential Equations 1969 Wiley-Interscience New York
6. J.K. Hale, and A. Spezamiglio Perturbation of homoclinic and subharmonics in Duffing's equation Nonlinear Anal. 9 1985 181 192
7. J.K. Hale, and P. Toboas Interaction of damping and forcing in a second order equation Nonlinear Anal. 2 1978 77 84
8. W. Zhang Bifurcation of homoclinic in a nonlinear oscillation Acta. Math. Sinica(NS) 5 1989 170 184