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Volumn 2, Issue 2, 1996, Pages 163-172

Lyapunov functions and attractors under variable time-step discretization

Author keywords

Cocycle; Cocycle attractor; Lyapunov function; Numerical scheme; Uniform asymptotic stability

Indexed keywords


EID: 0007254737     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (11)
  • 1
    • 67649394024 scopus 로고
    • Maximal attractors of semigroups corresponding to evolution equation
    • A.V. Babin and M.I. Vishik Maximal attractors of semigroups corresponding to evolution equation, Math USSR Sbornik 54 (1986), No 2.
    • (1986) Math USSR Sbornik , vol.54 , Issue.2
    • Babin, A.V.1    Vishik, M.I.2
  • 3
    • 0000649975 scopus 로고
    • Stable attracting sets in dynamical systems and their one-step discretizations
    • P.E. Kloeden and J. Lorenz, Stable attracting sets in dynamical systems and their one-step discretizations, SIAM J. Numer. Anal. 23 (1986), 986-995.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 986-995
    • Kloeden, P.E.1    Lorenz, J.2
  • 5
    • 0043084397 scopus 로고
    • The stochastic attractor of the stochastic Lorenz system
    • Nonlinear Dynamics: Attractor Approximation and Global Behaviour, (Editors: N. Koksch, V. Reitmann and T. Riedrich), TU Dresden
    • B. Schmalfuß, The stochastic attractor of the stochastic Lorenz system, in Nonlinear Dynamics: Attractor Approximation and Global Behaviour, Proc. ISAM 92 (Editors: N. Koksch, V. Reitmann and T. Riedrich), TU Dresden, 1992, 185-192.
    • (1992) Proc. ISAM 92 , pp. 185-192
    • Schmalfuß, B.1
  • 6
    • 0041581541 scopus 로고
    • Backward cocycles and attractor for the nonautonomous two dimensional Navier-Stokes equations
    • Institut für Dynamische Systeme, Universität Bremen, April
    • B. Schmalfuß, Backward cocycles and attractor for the nonautonomous two dimensional Navier-Stokes equations, Technical Report Nr. 304, Institut für Dynamische Systeme, Universität Bremen, April 1994.
    • (1994) Technical Report Nr. 304
    • Schmalfuß, B.1
  • 8
    • 84974266266 scopus 로고
    • Numerical analysis of dynamical systems
    • A.M. Stuart, Numerical analysis of dynamical systems, Acta Numerica 2 (1994).
    • (1994) Acta Numerica , vol.2
    • Stuart, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.