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Volumn 23, Issue 1, 2000, Pages 35-55

Normal forms and the structure of resonance sets in nonlinear time-periodic systems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); DEGREES OF FREEDOM (MECHANICS); LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; RESONANCE; TIME VARYING SYSTEMS;

EID: 0034273083     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008312424551     Document Type: Article
Times cited : (16)

References (16)
  • 1
    • 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
  • 2
    • 0028513255 scopus 로고
    • Analysis of quasilinear dynamical systems with periodic coefficients via Liapunov-Floquet transformation
    • Sinha, S. C. and Pandiyan, R., 'Analysis of quasilinear dynamical systems with periodic coefficients via Liapunov-Floquet transformation', International Journal of Non-Linear Mechanics 29, 1994, 687-702.
    • (1994) International Journal of Non-Linear Mechanics , vol.29 , pp. 687-702
    • Sinha, S.C.1    Pandiyan, R.2
  • 3
    • 0028714187 scopus 로고
    • Control of general dynamic systems with periodically varying parameters via Liapunov-Floquet transformation
    • Sinha, S. C. and Joseph, P., 'Control of general dynamic systems with periodically varying parameters via Liapunov-Floquet transformation', ASME Journal of Dynamic Systems, Measurement, and Control 116, 1994, 650-658.
    • (1994) ASME Journal of Dynamic Systems, Measurement, and Control , vol.116 , pp. 650-658
    • Sinha, S.C.1    Joseph, P.2
  • 5
    • 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
  • 10
    • 0031237138 scopus 로고    scopus 로고
    • Symbolic computation of fundamental solution matrices for linear time-periodic dynamical systems
    • Sinha, S. C. and Butcher, E. A., 'Symbolic computation of fundamental solution matrices for linear time-periodic dynamical systems', Journal of Sound and Vibration 206, 1997, 61-85.
    • (1997) Journal of Sound and Vibration , vol.206 , pp. 61-85
    • Sinha, S.C.1    Butcher, E.A.2
  • 11
    • 0032157864 scopus 로고    scopus 로고
    • Symbolic computation of local stability and bifurcation surfaces for nonlinear time-periodic systems
    • Butcher, E. A. and Sinha, S. C., 'Symbolic computation of local stability and bifurcation surfaces for nonlinear time-periodic systems', Nonlinear Dynamics 17, 1998, 1-21.
    • (1998) Nonlinear Dynamics , vol.17 , pp. 1-21
    • Butcher, E.A.1    Sinha, S.C.2
  • 12
    • 0032018648 scopus 로고    scopus 로고
    • Symbolic computation of secondary bifurcations in a parametrically excited simple pendulum
    • Butcher, E. A. and Sinha, S. C., 'Symbolic computation of secondary bifurcations in a parametrically excited simple pendulum', International Journal of Bifurcation and Chaos 8, 1998, 627-637.
    • (1998) International Journal of Bifurcation and Chaos , vol.8 , pp. 627-637
    • Butcher, E.A.1    Sinha, S.C.2
  • 13
    • 0030562018 scopus 로고    scopus 로고
    • Stability analysis of periodic systems by truncated point mappings
    • Guttalu, R. S. and Flashner, H., 'Stability analysis of periodic systems by truncated point mappings', Journal of Sound and Vibration 189, 1996, 33-54.
    • (1996) Journal of Sound and Vibration , vol.189 , pp. 33-54
    • Guttalu, R.S.1    Flashner, H.2
  • 14
    • 0032435442 scopus 로고    scopus 로고
    • Computation of normal forms of differential equations associated with non-semisimple zero eigenvalues
    • Bi, Q. and Yu, P., 'Computation of normal forms of differential equations associated with non-semisimple zero eigenvalues', International Journal of Bifurcation and Chaos 8, 1998, 2279-2319.
    • (1998) International Journal of Bifurcation and Chaos , vol.8 , pp. 2279-2319
    • Bi, Q.1    Yu, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.