On the analysis of certain high dimensional systems with inner resonances

Journal of Sound and Vibration

Volumn 213, Issue 4, 1998, Pages 739-756

  Zhang, W Y ^b   Huseyin, K ^a,b   Chen, Y S ^c  

^a EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

^b UNIVERSITY OF WATERLOO   (Canada)

^c TIANJIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001745029     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1527     Document Type: Article

References (9)

1. J. GUCKENHEIMER and P. HOLMES 1983 Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Berlin: Springer.
2. S. N. CHOW, C. Z. LI and D. WANG 1994 Normal Forms and Bifurcation of Planar Vector Fields. Cambridge University Press.
3. R. LIN and K. HUSEYIN 1992 International Journal of Nonlinear Mechanics 27, 219-232. A perturbation method for the analysis of vibrations and bifurcations associated with non-autonomous systems - II. Resonance case.
4. G. UNAL 1994 International Journal of Engineering Science 32, 455-472. Local integrability and chaos in the Kolmogorov-Spiegel-Sivashinsky equation.
5. W. Y. ZHANG 1991 Ph.D. Thesis, Tianjin University. Regional averaging method, improved normal form theory and their applications in bifurcation and chaos.
6. W. Y. ZHANG, K. HUSEYIN and Y. S. CHEN 1988 Journal of Sound and Vibration. A new approach for obtaining normal forms of nonlinear systems.
7. P. YU and K. HUSEYIN 1993 Quarterly Journal of Applied Mathematics LI, 91-100. On phase-locked motions associated with strong resonance.
8. A. H. NAYFEH 1993 Method of Normal Form. New York: Wiley.
9. K. HUSEYIN 1986 Multiple Parameter Stability Theory and its Applications. Clarendon Press: Oxford.