Stability and bifurcations of limit cycles by the perturbation-incremental method

Journal of Sound and Vibration

Volumn 206, Issue 4, 1997, Pages 589-604

  Chan, H S Y ^a   Chung, K W ^a   Xu, Z ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b SUN YAT SEN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); ITERATIVE METHODS; PERTURBATION TECHNIQUES;

PERTURBATION INCREMENTAL METHOD;

OSCILLATORS (ELECTRONIC);

EID: 0031549518     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1128     Document Type: Article

References (11)

1. 3 = 0.
2. V. T. COPPOLA and R. H. RAND 1990 Acta Mechanica 81, 125-142. Averaging using elliptic functions: approximation of limit cycles.
3. 4)ẋ = 0.
4. Z. XU and J. B. HUANG 1988 Mechanics and Practice 5, 6-10. Practical analysis method for limit cycles of non-linear oscillators (in Chinese).
5. Z. XU 1992 Acta Mechanica Sinica 8, 279-288. Nonlinear time transformation method for strongly non-linear oscillation systems.
6. Z. XU and Y. K. CHEUNG 1994 Journal of Sound and Vibration 174, 563-576. Averaging method using generalized harmonic functions for strongly non-linear oscillators.
7. Z. XU and Y. K. CHEUNG 1995 Nonlinear Dynamics 7, 285-299. A non-linear scales method for strongly non-linear oscillators.
8. H. S. Y. CHAN, K. W. CHUNG and Z. XU 1995 Journal of Sound and Vibration 183, 707-717. A perturbation-iterative method for determining limit cycles of strongly non-linear oscillators.
9. H. S. Y. CHAN, K. W. CHUNG and Z. XU 1996 International Journal of Non-Linear Mechanics 31, 59-72. A perturbation-incremental method for strongly non-linear oscillators.
10. Z. XU, H. S. Y. CHAN and K. W. CHUNG 1996 Nonlinear Dynamics 11, 213-233. Separatrics and limit cycles of strongly non-linear oscillators by the perturbation-incremental method.
11. Z. F. ZHANG, T. R. DING, W. Z. HUANG and Z. X. DONG 1992 Qualitative Theory of Differential Equations. Providence, Rhode Island: AMS.