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Volumn 1999-January, Issue , 1999, Pages 165-172

Rational Normal Form for Dynamical Systems by Carleman Linearization

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

EID: 85139946255     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/309831.309900     Document Type: Conference Paper
Times cited : (16)

References (22)
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    • Carleman, T.1
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    • Computing tho normal forms of matrices de-pending on parameters
    • Port-land, ACM Press Addison Wesley
    • CHEN, G. Computing tho normal forms of matrices de-pending on parameters. In Proceeding ISSAG'89 (Port-land, 1989), ACM Press - Addison Wesley, pp. 242-249.
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    • Chen, G.1
  • 7
    • 85054658784 scopus 로고
    • Nilpotent normal form via carleman linearization (for systems of nonlinear ordinary differential equations)
    • Bonn, ACM Press Ad-dison Wesley
    • CHEN. G.. DELLA DORA, J., AND STOLOVITCH, L. Nilpotent normal form via carleman linearization (for systems of nonlinear ordinary differential equations). In Proceeding 1SSAC91 (Bonn, 1991), ACM Press - Ad-dison Wesley, pp. 281-288.
    • (1991) Proceeding 1SSAC91 , pp. 281-288
    • Chen, G.1    della Dora, J.2    Stolovitch, L.3
  • 10
    • 0024480164 scopus 로고
    • Normal forms for non-linear vector fields - part ii: Applications
    • CHUA, L. O., AND KOKUBU, H. Normal forms for non-linear vector fields - part ii: Applications. IEEE Trans. on Circuits and Sys. 36 (1989), 51-70.
    • (1989) IEEE Trans. on Circuits and Sys. , vol.36 , pp. 51-70
    • Chua, L.O.1    Kokubu, H.2
  • 11
    • 0002776472 scopus 로고
    • Nilpotent normal forms and representation theory of sh(r)
    • M. Golubitsky and J. Guck-enheimer, Eds., of Contemporary Mathematics. Amor Math. Soc
    • CLSHMAN, R., AND SANDERS, J. Nilpotent normal forms and representation theory of sh(r). In Multipa-rameter bifurcation theory. M. Golubitsky and J. Guck-enheimer, Eds., vol. 56 of Contemporary Mathematics. Amor Math. Soc, 1986. pp. 31-35.
    • (1986) Multipa-rameter bifurcation theory , vol.56 , pp. 31-35
    • Clshman, R.1    Sanders, J.2
  • 12
    • 0002232810 scopus 로고
    • A simple global characteriza-tion for normal forms of singular vector fields
    • ELPHICK, C, TIRAPEGUI, E., BRACKET, M. E.. COUL-LET, P., AND Iooss, G. A simple global characteriza-tion for normal forms of singular vector fields. Physica D 29 (1987), 95-127.
    • (1987) Physica D , vol.29 , pp. 95-127
    • Elphick, C.1    Tirapegui, E.2    Bracket, M.E.3    Coul-Let, P.4    Iooss, G.5
  • 16
    • 0011965843 scopus 로고
    • Notes sur les proprietes des fonctions defiuies par des equations differcntiellcs
    • POINCARE, H. Notes sur les proprietes des fonctions defiuies par des equations differcntiellcs. Journal de I'Ecole Polytechnique 45 (1878), 13-26.
    • (1878) Journal de I'Ecole Polytechnique , vol.45 , pp. 13-26
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  • 17
    • 0004208250 scopus 로고
    • Nonlinear au-tonomous system of differential equations and carle-man linearization procedure
    • STEEB, W. H., AND WILHELM, F. Nonlinear au-tonomous system of differential equations and carle-man linearization procedure.,7. Math. Anal. Appl. 77 (1980), 601-611.
    • (1980) 7. Math. Anal. Appl. , vol.77 , pp. 601-611
    • Steeb, W.H.1    Wilhelm, F.2
  • 18
    • 0032514336 scopus 로고    scopus 로고
    • s algorithm for the frobenius normal form
    • Rostock, ACM Press Addison Wesley
    • s algorithm for the frobenius normal form. In Proceeding ISSAC'98 (Rostock, 1998), ACM Press - Addison Wesley, pp. 101-105.
    • (1998) Proceeding ISSAC'98 , pp. 101-105
    • Storjohann, A.1
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    • Normal forms for certain singularities of vectorfields
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  • 20
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  • 21
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  • 22
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    • Usmki, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.