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Volumn 48, Issue 3, 1997, Pages 480-524

Algorithms for computing normally hyperbolic invariant manifolds

Author keywords

Algorithms; Constructive proofs; Dynamical systems; Graph transform; Invariant manifolds; Newton's method; Normal hyperbolicity; Numerical experiments; Stable and unstable manifolds

Indexed keywords


EID: 0031531518     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050044     Document Type: Article
Times cited : (65)

References (18)
  • 2
    • 0000606240 scopus 로고    scopus 로고
    • On the computation of normally hyperbolic invariant manifolds
    • H. W. Broer, S. A. van Gils, I. Hoveijn, and F. Takens, editors Birkhäuser Verlag, Basel/Switzerland
    • H. W. Broer, H. M. Osinga and G. Vegter, On the computation of normally hyperbolic invariant manifolds, In: H. W. Broer, S. A. van Gils, I. Hoveijn, and F. Takens, editors Progress in Nonlinear Differential Equations and Their Applications, vol. 19, pp. 423-447. Birkhäuser Verlag, Basel/Switzerland, 1996.
    • (1996) Progress in Nonlinear Differential Equations and Their Applications , vol.19 , pp. 423-447
    • Broer, H.W.1    Osinga, H.M.2    Vegter, G.3
  • 4
    • 84966243645 scopus 로고
    • A simple triangulation method for smooth manifolds
    • S. S. Cairns, A simple triangulation method for smooth manifolds, Bull. Amer. Math. Soc. 67 (1961), 389-390.
    • (1961) Bull. Amer. Math. Soc. , vol.67 , pp. 389-390
    • Cairns, S.S.1
  • 5
    • 0000233666 scopus 로고
    • Computation of invariant tori by the method of characteristics
    • L. Dieci and J. Lorenz, Computation of invariant tori by the method of characteristics, SIAM J. Numer. Anal. 32 (5) (1995), 1436-1474.
    • (1995) SIAM J. Numer. Anal. , vol.32 , Issue.5 , pp. 1436-1474
    • Dieci, L.1    Lorenz, J.2
  • 8
    • 0040808053 scopus 로고
    • Modeling with simplicial complexes: Topology, geometry, and algorithms
    • II. Edelsbrunner, Modeling with simplicial complexes: Topology, geometry, and algorithms. In: Proc. 6th Canad. Conf. Comput. Geom. 1994, pp. 36-44.
    • (1994) Proc. 6th Canad. Conf. Comput. Geom. , pp. 36-44
    • Edelsbrunner, I.I.1
  • 9
    • 0026170304 scopus 로고
    • Numerical computation and continuation of invariant manifolds connecting fixed points
    • M. J. Friedman and E. J. Doedel, Numerical computation and continuation of invariant manifolds connecting fixed points, SIAM J. Numer. Anal. 28 (3) (1991), 789-808.
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.3 , pp. 789-808
    • Friedman, M.J.1    Doedel, E.J.2
  • 12
    • 0001389356 scopus 로고
    • On the computation of invariant manifolds of fixed points
    • A. J. Homburg, H. M. Osinga, and G. Vegter, On the computation of invariant manifolds of fixed points, Z. Angew. Math. Phys. 46 (1995), 171-187.
    • (1995) Z. Angew. Math. Phys. , vol.46 , pp. 171-187
    • Homburg, A.J.1    Osinga, H.M.2    Vegter, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.