메뉴 건너뛰기




Volumn 11, Issue 4, 2006, Pages 510-530

On macromodeling of nonlinear systems with time periodic coefficients

Author keywords

Lyapunov Floquet (L F) transformation; Nonlinear time periodic systems; Order reduction

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; ERROR ANALYSIS; LARGE SCALE SYSTEMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

EID: 27744534931     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2004.11.005     Document Type: Article
Times cited : (8)

References (21)
  • 2
    • 0040805835 scopus 로고
    • Multi-point Padé approximants of large-scale system via two-sided rational Krylov algorithm
    • Lake Buena Vista, FL
    • Gallivan K, Grimme E, Van Dooren P. Multi-point Padé approximants of large-scale system via two-sided rational Krylov algorithm. In: IEEE Conference on Decision and Control, Lake Buena Vista, FL, 1994.
    • (1994) IEEE Conference on Decision and Control
    • Gallivan, K.1    Grimme, E.2    Van Dooren, P.3
  • 3
    • 0034417516 scopus 로고    scopus 로고
    • Order reduction and control of parametrically excited dynamical systems
    • V. Deshmukh S.C. Sinha P. Joseph Order reduction and control of parametrically excited dynamical systems J Vib Control 6 2000 1017-1028
    • (2000) J. Vib. Control , vol.6 , pp. 1017-1028
    • Deshmukh, V.1    Sinha, S.C.2    Joseph, P.3
  • 5
    • 85007709933 scopus 로고
    • Reduction of stiffness and mass matrices
    • R.J. Guyan Reduction of stiffness and mass matrices AIAA J 3 1965 380
    • (1965) AIAA J. , vol.3 , pp. 380
    • Guyan, R.J.1
  • 7
    • 0001324638 scopus 로고    scopus 로고
    • Postprocessing the Galerkin method: A novel approach to approximate inertial manifolds
    • B. Garcia-Archilla J. Novo E.S. Titi Postprocessing the Galerkin method: a novel approach to approximate inertial manifolds SIAM J Numer Anal 35 3 1998 941
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.3 , pp. 941
    • Garcia-Archilla, B.1    Novo, J.2    Titi, E.S.3
  • 8
    • 21844449770 scopus 로고    scopus 로고
    • Some techniques for order reduction of nonlinear time periodic systems using invariant manifolds
    • Paper No. 42559, Washington, DC, USA, November 16-21
    • Redkar S, Sinha SC, Butcher E. Some techniques for order reduction of nonlinear time periodic systems using invariant manifolds. In: Proceedings of the IMECE 2003, Paper No. 42559, Washington, DC, USA, November 16-21, 2003.
    • (2003) Proceedings of the IMECE 2003
    • Redkar, S.1    Sinha, S.C.2    Butcher, E.3
  • 9
    • 0026420003 scopus 로고
    • Nonlinear normal modes and invariant manifolds
    • S.W. Shaw C. Pierre Nonlinear normal modes and invariant manifolds J Sound Vib 150 1 1991 170-173
    • (1991) J. Sound Vib. , vol.150 , Issue.1 , pp. 170-173
    • Shaw, S.W.1    Pierre, C.2
  • 11
    • 0030129491 scopus 로고    scopus 로고
    • Lyapunov-Floquet transformation: Computation and applications to periodic Systems
    • S.C. Sinha R. Pandiyan J.S. Bibb Lyapunov-Floquet transformation: computation and applications to periodic Systems ASME J Vib Acoustics 118 1996 209-219
    • (1996) ASME J. Vib. Acoustics , vol.118 , pp. 209-219
    • Sinha, S.C.1    Pandiyan, R.2    Bibb, J.S.3
  • 12
    • 0026260006 scopus 로고
    • An efficient computation scheme for the analysis of periodic systems
    • S.C. Sinha D.-H. Wu An efficient computation scheme for the analysis of periodic systems J Sound Vib 151 1991 91-117
    • (1991) J. Sound Vib. , vol.151 , pp. 91-117
    • Sinha, S.C.1    Wu, D.-H.2
  • 13
    • 0028513255 scopus 로고
    • Analysis of quasilinear dynamical systems with periodic coefficients via Lyapunov-Floquet transformation
    • S.C. Sinha R. Pandiyan Analysis of quasilinear dynamical systems with periodic coefficients via Lyapunov-Floquet transformation Int J Nonlinear Mech 29 1994 687-702
    • (1994) Int. J. Nonlinear. Mech. , vol.29 , pp. 687-702
    • Sinha, S.C.1    Pandiyan, R.2
  • 15
    • 0003543568 scopus 로고
    • (Translated from Russian) State Publishing House of Technical and Theoretical Literature Moscow
    • I.G. Malkin Some problems in the theory of nonlinear oscillations (Translated from Russian) 1956 State Publishing House of Technical and Theoretical Literature Moscow
    • (1956) Some Problems in the Theory of Nonlinear Oscillations
    • Malkin, I.G.1
  • 16
    • 0342656703 scopus 로고    scopus 로고
    • Versal deformation and local bifurcation analysis of time periodic nonlinear systems
    • A. Dávid S.C. Sinha Versal deformation and local bifurcation analysis of time periodic nonlinear systems Nonlinear Dynamics 21 2000 317-336
    • (2000) Nonlinear Dynamics , vol.21 , pp. 317-336
    • Dávid, A.1    Sinha, S.C.2
  • 17
    • 21844467838 scopus 로고    scopus 로고
    • Application of Lyapunov-Floquet transformation and quasiperiodic normal forms to dynamical systems
    • M.S. Thesis, Auburn University
    • Wooden S. Application of Lyapunov-Floquet transformation and quasiperiodic normal forms to dynamical systems. M.S. Thesis, Auburn University, 2002.
    • (2002)
    • Wooden, S.1
  • 19
    • 1942440170 scopus 로고    scopus 로고
    • Nonlinear Galerkin based model reduction
    • Technical Report No. 98-49, Department of Mathematics, UCLA
    • Kan D. Nonlinear Galerkin based model reduction. Technical Report No. 98-49, Department of Mathematics, UCLA, 1998.
    • (1998)
    • Kan, D.1
  • 20
    • 0035284153 scopus 로고    scopus 로고
    • Methods for dimension reduction and their application in nonlinear dynamics
    • A. Steindl H. Troger Methods for dimension reduction and their application in nonlinear dynamics Int J Solids Structures 38 2001 2131-2147
    • (2001) Int. J. Solids Structures , vol.38 , pp. 2131-2147
    • Steindl, A.1    Troger, H.2
  • 21
    • 85196209047 scopus 로고    scopus 로고
    • Order reduction of nonlinear systems with time periodic coefficients using invariant manifold
    • in press
    • Sinha SC, Redkar SS, Butcher EA. Order reduction of nonlinear systems with time periodic coefficients using invariant manifold. J Sound Vib, in press.
    • J. Sound Vib.
    • Sinha, S.C.1    Redkar, S.S.2    Butcher, E.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.