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Volumn 78, Issue 12, 1998, Pages 807-821

Numerical computation of degenerate Hopf bifurcation points

Author keywords

Bordered matrices; Degenerate Hopf bifurcation; Generalized Liapunov Schmidt reduction; Stability; Test function

Indexed keywords


EID: 30244530735     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4001(199812)78:12<807::AID-ZAMM807>3.0.CO;2-C     Document Type: Article
Times cited : (5)

References (14)
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  • 3
    • 33751096546 scopus 로고
    • Classification and unfoldings of degenerate Hopf bifurcations
    • GOLUBITSKY, M.; LANGFORD, W. F.: Classification and unfoldings of degenerate Hopf bifurcations. J. Diff. Equations 41 (1981), 375-415.
    • (1981) J. Diff. Equations , vol.41 , pp. 375-415
    • Golubitsky, M.1    Langford, W.F.2
  • 4
    • 0003270066 scopus 로고
    • Singularities and groups in bifurcation theory
    • Springer-Verlag, New York
    • GOLUBITSKY, M.; SCHAEFFER, D.: Singularities and groups in bifurcation theory. Vol. 1. Applied Mathematical Sciences, 51. Springer-Verlag, New York 1985.
    • (1985) Applied Mathematical Sciences , vol.1-51
    • Golubitsky, M.1    Schaeffer, D.2
  • 6
    • 0040248721 scopus 로고    scopus 로고
    • Computing Hopf bifurcations. II: Three examples from neurophysiology
    • GUCKENHEIMER, J.; MYERS, M.: Computing Hopf bifurcations. II: Three examples from neurophysiology. SIAM J. Sci. Comput. 17 (1996), 1275-1301.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 1275-1301
    • Guckenheimer, J.1    Myers, M.2
  • 8
    • 0002674020 scopus 로고
    • Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems
    • English translation in [13]
    • HOPF, E.: Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems. Ber. Math. Phys. Kl. Sächs. Akad. Wiss. Leipzig 94 (1942), 3-22. English translation in [13].
    • (1942) Ber. Math. Phys. Kl. Sächs. Akad. Wiss. Leipzig , vol.94 , pp. 3-22
    • Hopf, E.1
  • 9
    • 0004401031 scopus 로고    scopus 로고
    • Local numerical analysis of Hopf bifurcation
    • JANOVSKÝ, V.; PLECHÁČ, P.: Local numerical analysis of Hopf bifurcation. SIAM J. Numer. Analysis 33 (1996), 1150-1168.
    • (1996) SIAM J. Numer. Analysis , vol.33 , pp. 1150-1168
    • Janovský, V.1    Plecháč, P.2
  • 10
    • 0002464199 scopus 로고
    • On a reduction process for nonlinear equations
    • JEPSON, A. D.; SPENCE, A.: On a reduction process for nonlinear equations. SIAM J. Math. Analysis 20 (1989), 39-56.
    • (1989) SIAM J. Math. Analysis , vol.20 , pp. 39-56
    • Jepson, A.D.1    Spence, A.2
  • 11
    • 0003236870 scopus 로고
    • Elements of applied bifurcation theory
    • Springer-Verlag, New York
    • KUZNETSOV, Y. A.: Elements of applied bifurcation theory. Applied Mathematical Sciences, 112. Springer-Verlag, New York 1995.
    • (1995) Applied Mathematical Sciences , vol.112
    • Kuznetsov, Y.A.1
  • 12
    • 0039478436 scopus 로고
    • Degenerate Hopf bifurcation and nerve impulse
    • LABOURIAU, I. S.: Degenerate Hopf bifurcation and nerve impulse. SIAM J. Math. Analysis 16 (1985), 1121-1133.
    • (1985) SIAM J. Math. Analysis , vol.16 , pp. 1121-1133
    • Labouriau, I.S.1
  • 14
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    • Computation of Hopf bifurcation with bordered matrices
    • WERNER, B.: Computation of Hopf bifurcation with bordered matrices. SIAM J. Numer. Analysis 33 (1996), 435-455.
    • (1996) SIAM J. Numer. Analysis , vol.33 , pp. 435-455
    • Werner, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.