Computation of the coefficients associated with the normal form of a resonant five-dimensional system

Mathematical and Computer Modelling

Volumn 30, Issue 11-12, 1999, Pages 213-228

  Zhang, W ^a   Huseyin, K ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Coefficients of normal forms; Five dimensional systems; Resonances

Indexed keywords

EID: 0033486158     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(99)00209-5     Document Type: Article

References (7)

1. 1. K. Huseyin, Multiple Parameter Stability Theory and its Applications, Clarendon Press, Oxford, (1986).
2. 2. P. Yu and K. Huseyin, Invariant tori arising at a general critical point of co-dimension three, Applied Mathematical Modeling 13, 506-523 (1989).
3. 3. G. Unal, Local integrability and chaos in the Kolmogorov-Spiegel-Sivashinsky equation, International Journal of Engineering Science 32, 455-472 (1994).
4. 4. P. Yu and K. Huseyin, On phase-locked motions associated with strong resonance, Quarterly of Applied Mathematics LI, 91-100 (1993).
5. 5. W.Y. Zhang, K. Huseyin and Y.S. Chen, On the analysis of certain high dimensional systems with inner resonances, Journal of Sound and Vibration 213 (4), 739-756 (1998).
6. 6. S.N. Chow, C.Z. Li and D. Wang, Normal Forms and Bifurcation of Planar Vector Fields, Cambridge University Press, Cambridge, (1994).
7. 7. W.Y. Zhang, K. Huseyin and Y.S. Chen, A new approach for obtaining normal forms of nonlinear systems, Journal of Sound and Vibration 210 (5), 609-625 (1998).