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Volumn 99, Issue 1, 2004, Pages 25-46

Numerical Taylor expansions for invariant manifolds

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EID: 11144262674     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0537-6     Document Type: Article
Times cited : (20)

References (13)
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  • 2
    • 0039165649 scopus 로고    scopus 로고
    • Numerical Taylor expansions of invariant manifolds in large dynamical systems
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    • [BK98] Beyn, W-J., Kleß, W.: Numerical Taylor expansions of invariant manifolds in large dynamical systems. Numer. Math. 80, 1-38 (1998)
    • (1998) Numer. Math. , vol.80 , pp. 1-38
    • Beyn, W.-J.1    Kleß, W.2
  • 3
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    • Solution of the matrix equation AX + XB = C
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    • (1972) CACM , vol.15 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 5
    • 0037111987 scopus 로고    scopus 로고
    • Stable synchronised states of coupled Tchebyscheff maps
    • Det02
    • [Det02] Dettmann, C.P.: Stable synchronised states of coupled Tchebyscheff maps. Physica D 172, 88-102 (2002)
    • (2002) Physica D , vol.172 , pp. 88-102
    • Dettmann, C.P.1
  • 6
    • 21844484668 scopus 로고
    • Bordered matrices and singularities of large nonlinear systems
    • Gov95
    • [Gov95] Govaerts, W.: Bordered matrices and singularities of large nonlinear systems. Int. J. Bifurcation and Chaos. 5, 243-250 (1995)
    • (1995) Int. J. Bifurcation and Chaos , vol.5 , pp. 243-250
    • Govaerts, W.1
  • 7
    • 0042470959 scopus 로고
    • Mixed block elimination for linear systems with wider borders
    • GP93
    • [GP93] Govaerts, W., Pryce, J.D.: Mixed block elimination for linear systems with wider borders. IMA J. Num. Anal. 13, 161-180 (1993)
    • (1993) IMA J. Num. Anal. , vol.13 , pp. 161-180
    • Govaerts, W.1    Pryce, J.D.2
  • 9
    • 0003394350 scopus 로고
    • Kel87. Tata Institute of Fundamental Research, Springer-Verlag, Bombay
    • [Kel87] Keller, H.: Numerical methods in bifurcation problems. Tata Institute of Fundamental Research, Springer-Verlag, Bombay, 1987
    • (1987) Numerical Methods in Bifurcation Problems
    • Keller, H.1
  • 11
    • 0003956970 scopus 로고
    • Lan71. Addison-Wesley, Reading
    • [Lan71] Lang, S.: Algebra. Addison-Wesley, Reading, 1971
    • (1971) Algebra
    • Lang, S.1
  • 13
    • 0003053628 scopus 로고
    • On the numerical and analytical approximation of invariant manifolds
    • Sim89. D. Benest and C. Froeschlé (eds.), Goutelas
    • [Sim89] Simo, C.: On the numerical and analytical approximation of invariant manifolds. Les Methodes Modernes de la Mechanique Céleste, D. Benest and C. Froeschlé (eds.), Goutelas, 1989, pp. 285-329
    • (1989) Les Methodes Modernes de la Mechanique Céleste , pp. 285-329
    • Simo, C.1


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