메뉴 건너뛰기




Volumn 16, Issue 3, 1998, Pages 203-221

Construction of Dynamically Equivalent Time-Invariant Forms for Time-Periodic Systems

Author keywords

Critical systems; Nonlinear; Time invariant forms; Time periodic systems

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS;

EID: 0032115332     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008072713385     Document Type: Article
Times cited : (33)

References (15)
  • 2
    • 2342624416 scopus 로고
    • An efficient computational scheme for the analysis of periodic systems
    • Sinha, S. C. and Wu, D.-H., 'An efficient computational scheme for the analysis of periodic systems', Journal of Sound and Vibration 15(8), 1991, 345-375.
    • (1991) Journal of Sound and Vibration , vol.15 , Issue.8 , pp. 345-375
    • Sinha, S.C.1    Wu, D.-H.2
  • 3
    • 0030129491 scopus 로고    scopus 로고
    • Liapunov-Floquet transformation: Computation and applications to periodic systems
    • Sinha, S. C., Pandiyan, R., and Bibb, J. S., 'Liapunov-Floquet transformation: Computation and applications to periodic systems', Journal of Vibration and Acoustics 118, 1996, 209-219.
    • (1996) Journal of Vibration and Acoustics , vol.118 , pp. 209-219
    • Sinha, S.C.1    Pandiyan, R.2    Bibb, J.S.3
  • 4
    • 0027576797 scopus 로고
    • Optimal control of mechanical systems subjected to periodic loading via Chebyshev polinomials
    • Joseph, P., Pandiyan, R., and Sinha, S. C., Optimal control of mechanical systems subjected to periodic loading via Chebyshev polinomials', Optimal Control Applications and Methods 14, 1993, 75-90.
    • (1993) Optimal Control Applications and Methods , vol.14 , pp. 75-90
    • Joseph, P.1    Pandiyan, R.2    Sinha, S.C.3
  • 7
    • 0028752422 scopus 로고
    • On the approximation of dynamical systems subjected to strong parametric excitations
    • 1994 Winter Annual Meeting of ASME, Chicago, November 13-18, A. K. Bajaj, N. S. Namachchivaya, and R. A. Ibrahim (eds.), ASME, New York
    • Pandiyan, R., Butcher, E. A., and Sinha, S. C., On the approximation of dynamical systems subjected to strong parametric excitations', in Symposium on Nonlinear and Stochastic Dynamics, 1994 Winter Annual Meeting of ASME, Chicago, November 13-18, A. K. Bajaj, N. S. Namachchivaya, and R. A. Ibrahim (eds.), ASME, New York, 1994, pp. 275-282.
    • (1994) Symposium on Nonlinear and Stochastic Dynamics , pp. 275-282
    • Pandiyan, R.1    Butcher, E.A.2    Sinha, S.C.3
  • 8
    • 0029428928 scopus 로고
    • On the analysis of time-periodic Hamiltonian dynamical systems
    • Vibration of Nonlinear, Random, and Time-Varying Systems, Boston, MA, September 17-21, S. C. Sinha, J. Cusumano, and F. Pfeiffer (eds.), v.S-A, DE v. 84-1, ASME, New York
    • Butcher, E. A. and Sinha, S. C., On the analysis of time-periodic Hamiltonian dynamical systems', Vibration of Nonlinear, Random, and Time-Varying Systems, Proceedings of the Fifteenth Biennial Conference on Mechanical Vibration and Noise, Boston, MA, September 17-21, S. C. Sinha, J. Cusumano, and F. Pfeiffer (eds.), v.S-A, DE v. 84-1, ASME, New York, 1995, pp. 375-386.
    • (1995) Proceedings of the Fifteenth Biennial Conference on Mechanical Vibration and Noise , pp. 375-386
    • Butcher, E.A.1    Sinha, S.C.2
  • 9
    • 33746033367 scopus 로고    scopus 로고
    • Canonical perturbation of a fast time-periodic Hamiltonian via Lyapunov-Floquet transformation
    • to appear
    • Butcher, E. A. and Sinha, S. C., 'Canonical perturbation of a fast time-periodic Hamiltonian via Lyapunov-Floquet transformation', ASME Journal of Applied Mechanics, 1998 (to appear).
    • (1998) ASME Journal of Applied Mechanics
    • Butcher, E.A.1    Sinha, S.C.2
  • 10
    • 2342475568 scopus 로고
    • Some basic theorems of the theory of stability of motion in critical cases
    • Series 1, 38, American Mathematical Society, New York
    • Malkin, I. G., 'Some basic theorems of the theory of stability of motion in critical cases', in American Mathematical Society Translations, Series 1, 38, American Mathematical Society, New York, 1951, pp. 1-50.
    • (1951) American Mathematical Society Translations , pp. 1-50
    • Malkin, I.G.1
  • 13
    • 0002076044 scopus 로고
    • Analysis of time-periodic nonlinear dynamical systems undergoing bifurcations
    • Pandiyan, R. and Sinha, S. C., 'Analysis of time-periodic nonlinear dynamical systems undergoing bifurcations', Nonlinear Dynamics 8, 1995, 21-43.
    • (1995) Nonlinear Dynamics , vol.8 , pp. 21-43
    • Pandiyan, R.1    Sinha, S.C.2
  • 15
    • 0029229998 scopus 로고
    • On averaged and normal form equations
    • Sethna, P. R., 'On averaged and normal form equations', Nonlinear Dynamics 7, 1995, 1-10.
    • (1995) Nonlinear Dynamics , vol.7 , pp. 1-10
    • Sethna, P.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.