Symbolic computation of secondary bifurcations in a parametrically excited simple pendulum

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 3, 1998, Pages 627-637

  Butcher, Eric A ^a   Sinha, S C ^a  

^a AUBURN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032018648     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498000425     Document Type: Article

References (11)

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3. Guttalu, R. S. & Flashner, H. [1996] "Stability analysis of periodic systems by truncated point mappings," J. Sound and Vibration 189, 33-54.
4. Joseph, P., Pandiyan, R. & Sinha, S. C. [1993] "Optimal control of mechanical systems subjected to periodic loading via Chebyshev polynomials," Optimal Control Applications & Methods 14, 75-90.
5. Nayfeh, A. H. [1973] Perturbation Methods (John Wiley, New York).
6. Newland, D. E. [1989] Mechanical Vibration Analysis and Computation (John Wiley, New York).
7. Pandiyan, R. [1994] Analysis and Control of Nonlinear Dynamic Systems with Periodically-Varying Parameters, Ph.D. dissertation, Auburn University, Auburn, AL.
8. Pandiyan, R. & Sinha, S. C. [1995] "Analysis of time-periodic nonlinear dynamical systems undergoing bifurcations," Nonlin. Dyn. 8, 21-43.
9. Sanders, J. A. & Verhulst, F. [1985] Averaging Methods in Nonlinear Dynamical Systems (Springer-Verlag, New York).
10. Sinha, S. C. & Wu, D.-H. [1991] "An efficient computational scheme for the analysis of periodic systems," J. Sound and Vibration 151, 91-117.
11. Sinha, S. C. & Butcher, E. A. [1997] "Symbolic computation of fundamental solution matrices for time-periodic dynamical systems," J. Sound and Vibration 206(1), 61-85.