Energy method for computing periodic solutions of strongly nonlinear systems (I) - Autonomous systems

Nonlinear Dynamics

Volumn 9, Issue 3, 1996, Pages 223-247

  Li, Li ^a  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Limit cycle; Periodic solution; Strongly nonlinear system

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; STABILITY;

ENERGY METHODS; LIMIT CYCLE; PERIODIC SOLUTION; STRONGLY NONLINEAR SYSTEMS;

NONLINEAR SYSTEMS;

EID: 0030109767     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01833743     Document Type: Article

References (8)

1. Pliss, V. A., Nonlocal Problems of the Oscillations, Academic Press, New York, 1966.
2. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
3. Minorsky, N., Non-Linear Oscillations, D. van Nostrand, Princeton, 1962.
4. Bravo Yuste, S., 'On Duffing oscillators with slowly varying parameters', International Journal of Non-Linear Mechanics 26, 1991, 671-677.
5. Cheung, Y. K., Chen, S. H., and Lau, S. L., 'A modified Lindstedt-Poincare method for certain strongly non-linear oscillators', International Journal of Non-Linear Mechanics 26, 1991, 367-378.
6. Li Li, 'The periodic solution of a quasi-conservative system', in Proceedings Int. Conf. Non-Linear Mech., Science Press, Beijing, 1985, pp. 919-924.
7. Coppola, V. A. and Rank, R. H., 'Averaging elliptic functions: Approximation of limit cycles', Acta Mechanica 81, 1990, 125-142.
8. 4)ẋ = 0', International Journal of Non-Linear Mechanics 25, 1990, 663-675.