메뉴 건너뛰기




Volumn 13, Issue 6, 2003, Pages 1449-1457

Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations

Author keywords

Aperiodically time dependent vector field; Exponential dichotomy; Hyperbolic trajectory

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; DISCRETE TIME CONTROL SYSTEMS; MATRIX ALGEBRA; VECTORS;

EID: 0041377838     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403007321     Document Type: Article
Times cited : (34)

References (16)
  • 1
    • 0002709196 scopus 로고
    • Dichotomy in stability theory
    • Springer-Verlag, NY, Heidelberg, Berlin
    • Coppel, W. A. [1978] Dichotomy in Stability Theory, Lecture Notes in Mathematics, Vol. 629 (Springer-Verlag, NY, Heidelberg, Berlin).
    • (1978) Lecture Notes in Mathematics , vol.629
    • Coppel, W.A.1
  • 2
    • 0042210755 scopus 로고
    • Slowly varying ẋ = A(t)x
    • Desoer, C. A. [1969] "Slowly varying ẋ = A(t)x," IEEE Trans. Automat. Contr. 14, 1091-1100.
    • (1969) IEEE Trans. Automat. Contr. , vol.14 , pp. 1091-1100
    • Desoer, C.A.1
  • 3
    • 0000223905 scopus 로고    scopus 로고
    • On the computation of Lyapunov exponents for continuous dynamical systems
    • Dieci, L., Russell, R. D. & Van Vleck, E. S. [1997] "On the computation of Lyapunov exponents for continuous dynamical systems," SIAM J. Numer. Anal. 34, 402-423.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 402-423
    • Dieci, L.1    Russell, R.D.2    Van Vleck, E.S.3
  • 4
    • 0033239812 scopus 로고    scopus 로고
    • On smooth decompositions of matrices
    • Dieci, L. & Eirola, T. [1999] "On smooth decompositions of matrices," SIAM J. Matrix Anal. Appl. 20, 800-819.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 800-819
    • Dieci, L.1    Eirola, T.2
  • 5
    • 0001229490 scopus 로고    scopus 로고
    • Finite time transport in aperiodic flows
    • Haller, G. & Poje, A. [1998] "Finite time transport in aperiodic flows," Physica D119, 352-380.
    • (1998) Physica , vol.D119 , pp. 352-380
    • Haller, G.1    Poje, A.2
  • 6
    • 0003304963 scopus 로고    scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer-Verlag, NY, Heidelberg, Berlin
    • Henry, D. [1998] Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, Vol. 840 (Springer-Verlag, NY, Heidelberg, Berlin).
    • (1998) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 7
    • 0036315576 scopus 로고    scopus 로고
    • Distinguished hyperbolic trajectories in time dependent fluid flows: Analytical and computational approach for velocity fields defined as data sets
    • Ide, K., Small, D. & Wiggins, S. [2002] "Distinguished hyperbolic trajectories in time dependent fluid flows: Analytical and computational approach for velocity fields defined as data sets," Nonlin. Process. Geophys. 9, 237-263.
    • (2002) Nonlin. Process. Geophys. , vol.9 , pp. 237-263
    • Ide, K.1    Small, D.2    Wiggins, S.3
  • 8
    • 0041710288 scopus 로고    scopus 로고
    • On roughness of exponential dichotomy
    • Ju, N. & Wiggins, S. [2001] "On roughness of exponential dichotomy," J. Math. Anal. Appl. 262, 39-49.
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 39-49
    • Ju, N.1    Wiggins, S.2
  • 9
    • 0027396739 scopus 로고
    • An Analytical study of transport in stokes flows exhibiting large scale chaos - The eccentric journal bearing
    • Kaper, T. J. & Wiggins, S. [1993] "An Analytical study of transport in stokes flows exhibiting large scale chaos - The eccentric journal bearing," J. Fluid Mech. 253, 211-243.
    • (1993) J. Fluid Mech. , vol.253 , pp. 211-243
    • Kaper, T.J.1    Wiggins, S.2
  • 10
    • 0001549406 scopus 로고    scopus 로고
    • Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow
    • Malhotra, N. & Wiggins, S. [1998] "Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow," J. Nonlin Sci. 8, 401-456.
    • (1998) J. Nonlin Sci. , vol.8 , pp. 401-456
    • Malhotra, N.1    Wiggins, S.2
  • 13
    • 0034774248 scopus 로고    scopus 로고
    • Boundedness properties for time-varying nonlinear systems
    • Peuteman, J., Aeyels, D. & Sepulchre, R. [2000] "Boundedness properties for time-varying nonlinear systems," SIAM J. Contr. Optim. 39, 1408-1422.
    • (2000) SIAM J. Contr. Optim. , vol.39 , pp. 1408-1422
    • Peuteman, J.1    Aeyels, D.2    Sepulchre, R.3
  • 14
    • 38149146806 scopus 로고
    • Estimates on the strength of exponential dichotomies and application to integral manifolds
    • Sakamoto, K. [1994] "Estimates on the strength of exponential dichotomies and application to integral manifolds," J. Diff. Eqs. 107, 259-279.
    • (1994) J. Diff. Eqs. , vol.107 , pp. 259-279
    • Sakamoto, K.1
  • 16
    • 0001731171 scopus 로고
    • A generalized integral manifold theorem
    • Yi, Y. [1993] "A generalized integral manifold theorem," J. Diff. Eqs. 102, 153-187.
    • (1993) J. Diff. Eqs. , vol.102 , pp. 153-187
    • Yi, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.