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Volumn 24, Issue 4, 1998, Pages 418-436

Implementation of Hopf and Double-Hopf Continuation Using Bordering Methods

Author keywords

Algorithms; Bialternate product; CONTENT; D.2.6 Software Engineering : Programming Environments; Design; Dynamical system; G.1.7 Numerical Analysis : Ordinary Differential Equations; G.4 Mathematics of Computing : Mathematical Software

Indexed keywords

ALGORITHMS; COMPUTER SOFTWARE; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; SOFTWARE ENGINEERING;

EID: 0032255516     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/293686.293693     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 0041967189 scopus 로고
    • On the simple model of kinetic self-oscillations in catalitic reaction of CO oxidation
    • In Russian
    • BYKOV, V. I., YABLONSKII, G. S., AND KIM, V. F. 1978. On the simple model of kinetic self-oscillations in catalitic reaction of CO oxidation. Dokl. AN SSSR 242, 3, 637-639. In Russian.
    • (1978) Dokl. AN SSSR , vol.242 , Issue.3 , pp. 637-639
    • Bykov, V.I.1    Yablonskii, G.S.2    Kim, V.F.3
  • 2
    • 0028416213 scopus 로고
    • Matrices with rank deficiency two in eigenvalue problems and dynamical systems
    • CHU, K., GOVAERTS, W., AND SPENCE, A. 1994. Matrices with rank deficiency two in eigenvalue problems and dynamical systems. SIAM J. Numer. Anal., 31, 524-539.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 524-539
    • Chu, K.1    Govaerts, W.2    Spence, A.3
  • 4
    • 0004780988 scopus 로고
    • A singular value inequality for block matrices
    • GOVAERTS, W. AND PRYCE, J. D. 1989. A singular value inequality for block matrices. Lin. Alg. Appl. 125, 141-148.
    • (1989) Lin. Alg. Appl. , vol.125 , pp. 141-148
    • Govaerts, W.1    Pryce, J.D.2
  • 7
    • 0000157103 scopus 로고
    • New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. a comparative numerical study
    • HOLODNIOK, M., AND KUBIČEK, M. 1984. New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. A comparative numerical study. Appl. Math. Comput. 15, 261-274.
    • (1984) Appl. Math. Comput. , vol.15 , pp. 261-274
    • Holodniok, M.1    Kubiček, M.2
  • 8
    • 0345769157 scopus 로고
    • 23 phase portraits of the simplest catalitic oscillator
    • In Russian
    • KHIBNIK, A. I., BYKOV, V. I., AND YABLONSKII, G. S. 1987. 23 phase portraits of the simplest catalitic oscillator. J. Fiz. Khim. 61, 1388-1390. In Russian.
    • (1987) J. Fiz. Khim. , vol.61 , pp. 1388-1390
    • Khibnik, A.I.1    Bykov, V.I.2    Yablonskii, G.S.3
  • 10
    • 0003236870 scopus 로고
    • Elements of Applied Bifurcation Theory
    • Springer-Verlag, New York
    • KUZNETSOV, YU. A. 1995. Elements of Applied Bifurcation Theory. Applied Mathematical Sciences, Vol. 112. Springer-Verlag, New York.
    • (1995) Applied Mathematical Sciences , vol.112
    • Kuznetsov, Yu.A.1
  • 14
    • 0022414874 scopus 로고
    • A direct method for the computation of Hopf bifurcation points
    • ROOSE, D. AND HLAVAČEK, V. 1985. A direct method for the computation of Hopf bifurcation points. SIAM J. Appl. Math. 45, 879-894.
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 879-894
    • Roose, D.1    Hlavaček, V.2
  • 15
    • 0000595530 scopus 로고    scopus 로고
    • Computation of Hopf bifurcation with bordered matrices
    • WERNER, B. 1996. Computation of Hopf bifurcation with bordered matrices. SIAM J. Numer. Anal. 33, 435-455.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 435-455
    • Werner, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.