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Volumn 5, Issue 2, 2005, Pages 215-238

Approximation of attractors of nonautonomous dynamical systems

Author keywords

Continuation algorithm; Forward attractor; Fullback attractor; Invariant manifold; Nonautonomous bifurcation; Nonautonomous difference equation; Nonautonomous dynamical system; Numerical approximation; Subdivision algorithm

Indexed keywords


EID: 18144397824     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2005.5.215     Document Type: Article
Times cited : (24)

References (16)
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    • Invariant manifolds as pullback attractors of nonautonomous difference equations
    • to appear in
    • B. Aulbach, M. Rasmussen and S. Siegmund, Invariant Manifolds as Pullback Attractors of Nonautonomous Difference Equations, to appear in: Proceedings of ICDEA 2003.
    • Proceedings of ICDEA 2003
    • Aulbach, B.1    Rasmussen, M.2    Siegmund, S.3
  • 6
    • 0031537466 scopus 로고    scopus 로고
    • A subdivision algorithm for the computation of unstable manifolds and global attractors
    • M. Dellnitz and A. Hohmann, A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors, Numerische Mathematik, 75 (1997), 293-317.
    • (1997) Numerische Mathematik , vol.75 , pp. 293-317
    • Dellnitz, M.1    Hohmann, A.2
  • 9
    • 0002444942 scopus 로고    scopus 로고
    • Numerical approximation of random attractors
    • H. Crauel & M. Gundlach (eds.), Springer, Berlin Heidelberg New York
    • H. Keller and G. Ochs, Numerical Approximation of Random Attractors. In: H. Crauel & M. Gundlach (eds.), Stochastic Dynamics, Springer, Berlin Heidelberg New York (1999).
    • (1999) Stochastic Dynamics
    • Keller, H.1    Ochs, G.2
  • 11
    • 0001948206 scopus 로고    scopus 로고
    • Towards a theory of random numerical dynamics
    • H. Crauel & M. Gundlach (eds.), Springer, Berlin Heidelberg New York
    • P. E. Kloeden, H. Keller and B. Schmalfuß, Towards a Theory of Random Numerical Dynamics. In: H. Crauel & M. Gundlach (eds.), Stochastic Dynamics, Springer, Berlin Heidelberg New York (1999).
    • (1999) Stochastic Dynamics
    • Kloeden, P.E.1    Keller, H.2    Schmalfuß, B.3
  • 14
    • 0001624408 scopus 로고
    • Existence of dichotomies and invariant splittings for linear differential systems I
    • R. J. Sacker and G. R. Sell, Existence of Dichotomies and Invariant Splittings for Linear Differential Systems I, Journal of Differential Equations, 15 (1974), 429-458.
    • (1974) Journal of Differential Equations , vol.15 , pp. 429-458
    • Sacker, R.J.1    Sell, G.R.2
  • 15
    • 18144387074 scopus 로고    scopus 로고
    • Computation of nonautonomous invariant manifolds
    • B. Aulbach & S. Elaydi & G. Ladas (eds.), CRC Press, Boca Raton
    • S. Siegmund, Computation of Nonautonomous Invariant Manifolds. In: B. Aulbach & S. Elaydi & G. Ladas (eds.), New Progress in Difference Equations, CRC Press, Boca Raton (2004).
    • (2004) New Progress in Difference Equations
    • Siegmund, S.1
  • 16
    • 0003246899 scopus 로고    scopus 로고
    • Infinite-dimensional dynamical systems in mechanics and physics
    • Springer, New York
    • R. Temam, Infinite-dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences, 68, Springer, New York (1997).
    • (1997) Applied Mathematical Sciences , vol.68
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.