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Volumn 10, Issue 2, 2000, Pages 291-305

On the hopf-pitchfork bifurcation in the Chua's equation

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Indexed keywords


EID: 0034134713     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127400000190     Document Type: Article
Times cited : (28)

References (16)
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    • Hypernormal form for the Hopf-zero bifurcation
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    • Algaba, A.1    Freire, E.2    Gamero, E.3
  • 2
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    • On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations
    • Algaba, A., Freire, E., Gamero, E. & Rodríguez-Luis, A. J. [1999a] "On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations," Int. J. Bifurcation and Chaos 9(7), 1333-1362.
    • (1999) Int. J. Bifurcation and Chaos , vol.9 , Issue.7 , pp. 1333-1362
    • Algaba, A.1    Freire, E.2    Gamero, E.3    Rodríguez-Luis, A.J.4
  • 3
    • 85037764134 scopus 로고    scopus 로고
    • A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
    • accepted
    • Algaba, A., Freire, E., Gamero, E. & Rodríguez-Luis, A. J. [1999b] "A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator," Nonlin. Dyn., accepted.
    • (1999) Nonlin. Dyn.
    • Algaba, A.1    Freire, E.2    Gamero, E.3    Rodríguez-Luis, A.J.4
  • 4
    • 0033164120 scopus 로고    scopus 로고
    • A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation
    • Algaba, A., Freire, E., Gamero, E. & Rodríguez-Luis, A. J. [1999c] "A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation," Nonlinearity 12, 1177-1206.
    • (1999) Nonlinearity , vol.12 , pp. 1177-1206
    • Algaba, A.1    Freire, E.2    Gamero, E.3    Rodríguez-Luis, A.J.4
  • 6
    • 0006963160 scopus 로고    scopus 로고
    • Towards global models near homoclinic tangencies of dissipative diffeomorphisms
    • Broer, H., Simó, C. & Tatjer, J. C. [1998] "Towards global models near homoclinic tangencies of dissipative diffeomorphisms," Nonlinearity 11, 667-770.
    • (1998) Nonlinearity , vol.11 , pp. 667-770
    • Broer, H.1    Simó, C.2    Tatjer, J.C.3
  • 8
    • 84896881561 scopus 로고
    • Local study of planar vector fields: Singularities and their unfolding
    • eds. Broer, H. W., Dumortier, F., van Strien, S. J. & Takens, F. (North Holland, Amsterdam)
    • Dumortier, F. [1991] "Local study of planar vector fields: Singularities and their unfolding," in Structures in Dynamics, Studies in Math. Physics, Vol. 2, eds. Broer, H. W., Dumortier, F., van Strien, S. J. & Takens, F. (North Holland, Amsterdam), pp. 161-242.
    • (1991) Structures in Dynamics, Studies in Math. Physics , vol.2 , pp. 161-242
    • Dumortier, F.1
  • 10
    • 0000036850 scopus 로고
    • Silnikov-Hopf bifurcation
    • Hirschberg, P. & Knobloch, E. [1993] "Silnikov-Hopf bifurcation," Physica D62, 202-216.
    • (1993) Physica , vol.D62 , pp. 202-216
    • Hirschberg, P.1    Knobloch, E.2
  • 11
    • 0002359029 scopus 로고
    • Successive homoclinic tangencies to a limit cycle
    • Hirschberg, P. & Laing, C. [1995] "Successive homoclinic tangencies to a limit cycle," Physica D89, 1-14.
    • (1995) Physica , vol.D89 , pp. 1-14
    • Hirschberg, P.1    Laing, C.2
  • 12
    • 0001343753 scopus 로고
    • Breaking of symmetry in the saddlenode Hopf bifurcation
    • Kirk, V. [1991] "Breaking of symmetry in the saddlenode Hopf bifurcation," Phys. Lett. A154(5&6), 243-248.
    • (1991) Phys. Lett. , vol.A154 , Issue.5-6 , pp. 243-248
    • Kirk, V.1
  • 13
    • 0000868937 scopus 로고    scopus 로고
    • Codimension-three unfoldings of reflectionally symmetric planar vector fields
    • Krauskopf, B. & Rousseau, C. [1997] "Codimension-three unfoldings of reflectionally symmetric planar vector fields," Nonlinearity 10(5), 1115-1150.
    • (1997) Nonlinearity , vol.10 , Issue.5 , pp. 1115-1150
    • Krauskopf, B.1    Rousseau, C.2
  • 15
    • 21844490940 scopus 로고
    • Bananas and banana splits: A parametric degeneracy in the Hopf bifurcation for maps
    • Peckham, B. B., Frouzakis, C. E. & Kevrekidis, I. G. [1995] "Bananas and banana splits: A parametric degeneracy in the Hopf bifurcation for maps," SIAM J. Math. Anal. 26(1), 190-217.
    • (1995) SIAM J. Math. Anal. , vol.26 , Issue.1 , pp. 190-217
    • Peckham, B.B.1    Frouzakis, C.E.2    Kevrekidis, I.G.3
  • 16


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.