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Volumn 13, Issue 2, 2003, Pages 497-504

Computing invariant sets

Author keywords

Invariant set; Numerical algorithm; Stable manifold

Indexed keywords

ALGORITHMS; INVARIANCE; NUMERICAL ANALYSIS; SET THEORY;

EID: 0038333524     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403006674     Document Type: Article
Times cited : (4)

References (17)
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    • Beyn, W.-J.1    Kleinkauf, J.-M.2
  • 5
    • 0000044573 scopus 로고
    • Stable manifolds and hyperbolic sets
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    • (1970) Proc. Symp. Pure Math. , vol.14 , pp. 133-163
    • Hirsch, M.1    Pugh, C.2
  • 6
    • 84974290079 scopus 로고
    • Technical Report 68, Institut für Angewandte Analysis und Stochastik, Berlin
    • Homburg, A. J. [1993] "On the computation of invariant manifolds," Technical Report 68, Institut für Angewandte Analysis und Stochastik, Berlin.
    • (1993) On the Computation of Invariant Manifolds
    • Homburg, A.J.1
  • 7
    • 0001389356 scopus 로고
    • On the numerical computation of invariant manifolds of fixed points
    • Homburg, A. J., Osinga, H. M. & Vegter, G. [1995] "On the numerical computation of invariant manifolds of fixed points," Z. Angew. Math. Phys. 46, 171-187.
    • (1995) Z. Angew. Math. Phys. , vol.46 , pp. 171-187
    • Homburg, A.J.1    Osinga, H.M.2    Vegter, G.3
  • 8
    • 0010055859 scopus 로고
    • On the stable manifold theorem
    • Irwin, M. C. [1970] "On the stable manifold theorem," Bull. London Math. Soc. 2, 196-199.
    • (1970) Bull. London Math. Soc. , vol.2 , pp. 196-199
    • Irwin, M.C.1
  • 9
    • 0001837697 scopus 로고
    • On the smoothness of the composition map
    • Irwin, M. C. [1972] "On the smoothness of the composition map," Quart. J. Math. Oxford 23, 113-133.
    • (1972) Quart. J. Math. Oxford , vol.23 , pp. 113-133
    • Irwin, M.C.1
  • 12
    • 45149143640 scopus 로고
    • A procedure for finding numerical trajectories on chaotic saddles
    • Nusse, H. E. & Yorke, J. A. [1989] "A procedure for finding numerical trajectories on chaotic saddles," Physica D36, 137-156.
    • (1989) Physica , vol.D36 , pp. 137-156
    • Nusse, H.E.1    Yorke, J.A.2
  • 14
    • 84941492282 scopus 로고
    • Über stabilität und asymptotisches verhalten der lösungen eines systems endlicher differenzengleichungen
    • Perron, O. [1929] "Über stabilität und asymptotisches verhalten der lösungen eines systems endlicher differenzengleichungen," J. Reine Angew. Math. 161, 41-64.
    • (1929) J. Reine Angew. Math. , vol.161 , pp. 41-64
    • Perron, O.1
  • 16
    • 84968514104 scopus 로고
    • Differentiable dynamical systems
    • Smale, S. [1967] "Differentiable dynamical systems," Bull. Amer. Math. Soc. 73, 747-817.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 747-817
    • Smale, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.