Elementary Bifurcations of Non-Critical but Non-Hyperbolic Invariant Tori

Acta Mathematica Sinica, English Series

Volumn 19, Issue 1, 2003, Pages 159-170

  Sun, Jian Hua ^a  

^a NANJING UNIVERSITY   (China)

Author keywords

Averaging method; Elementary bifurcation; Lyapunov Schmidt method; Nonhyperbolic but noncritical invariant tori; Periodic perturbation; Scaling

Indexed keywords

EID: 1342269098     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-002-0213-7     Document Type: Article

References (7)

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3. Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York (1990)
4. Chow, S. N., Hale, J. K.: Methods of Bifurcation Theory, Springer-Verlag, New York (1982)
5. Hale, J. K.: Ordinary Differential Equations, Wiley-Inter-Science, New York (1980)
6. D. M., Han, M. A.: Invariant tori and subharmonic bifurcations from periodic manifolds, Acta Math. Sinica, New Series, 14, 613-624 (1998)
7. Han, M. A.: Bifurcations of periodic orbits, subharmonic solutions and invariant tori of high-dimensional systems, Nonlinear Analysis, TMA, 36, 319-329 (1999)