메뉴 건너뛰기




Volumn 136, Issue 6, 2008, Pages 2031-2041

Equivariant HOPF bifurcation for neutral functional differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67650711301     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-08-09280-0     Document Type: Article
Times cited : (45)

References (14)
  • 1
    • 0000291028 scopus 로고
    • A bifurcation problem for a functional differential equation of finitely retarded type
    • MR0277854 (43:3587)
    • N. Chafee, A bifurcation problem for a functional differential equation of finitely retarded type,J. Math. Anal.Appl., 35 (1971), 312-348. MR0277854 (43:3587)
    • (1971) J. Math. Anal.Appl. , vol.35 , pp. 312-348
    • Chafee, N.1
  • 2
    • 0001509205 scopus 로고
    • Integral averaging and bifurcation
    • MR0488151 (58:7718)
    • S. N. Chow and J. Mallet-Paret, Integral averaging and bifurcation, J. Diff. Eqn., 26 (1977), 112-159. MR0488151 (58:7718)
    • (1977) J. Diff. Eqn. , vol.26 , pp. 112-159
    • Chow, S.N.1    Mallet-Paret, J.2
  • 3
    • 0000840164 scopus 로고
    • Normal forms for retarded functional-differential equations with parameters and applications to Hopf bifurcation
    • MR1355888 (97a:34186b)
    • T. Faria and L. T. Magalhães, Normal forms for retarded functional-differential equations with parameters and applications to Hopf bifurcation,J. Diff Eqn., 122 (1995), 181-200. MR1355888 (97a:34186b)
    • (1995) J. Diff Eqn. , vol.122 , pp. 181-200
    • Faria, T.1    Magalhães, L.T.2
  • 4
    • 84963034947 scopus 로고
    • An equivariant degree with applications to symmetric bifurcation problems, I: Construction of the degree
    • MR1281970 (95g:58025)
    • K. Geba, W. Krawcewicz, and J. Wu, An equivariant degree with applications to symmetric bifurcation problems, I: Construction of the degree, Proc. London Math. Soc., 69 (1994), 377-398. MR1281970 (95g:58025)
    • (1994) Proc. London Math. Soc. , vol.69 , pp. 377-398
    • Geba, K.1    Krawcewicz, W.2    Wu, J.3
  • 8
    • 0041511877 scopus 로고    scopus 로고
    • Hopf bifurcating periodic orbits in a ring of neurons with delays
    • MR2006470 (2004i:37168)
    • S. Guo and L. Huang, Hopf bifurcating periodic orbits in a ring of neurons with delays, Physica D., 183 (2003), 19-44. MR2006470 (2004i:37168)
    • (2003) Physica D. , vol.183 , pp. 19-44
    • Guo, S.1    Huang, L.2
  • 10
    • 0000252593 scopus 로고
    • Bifurcation formulae derived from center manifold theory
    • MR0488152 (58:7719)
    • B. D. Hassard and Y. Wan, Bifurcation formulae derived from center manifold theory,J. Math. Anal. Appl., 63 (1978), 297-312. MR0488152 (58:7719)
    • (1978) J. Math. Anal. Appl. , vol.63 , pp. 297-312
    • Hassard, B.D.1    Wan, Y.2
  • 11
    • 0002674020 scopus 로고
    • Abzweigung einer periodischen Lösung von einer stationären eines Differentialsys- tems
    • MR0039141(12:501c)
    • E. Hopf, Abzweigung einer periodischen Lösung von einer stationären eines Differentialsys- tems, Berichen Math. Phys. Kl. Säch. Akad. Wiss. Leipzig, 95 (1943), 3-22. MR0039141(12:501c)
    • (1943) Berichen Math. Phys. Kl. Säch. Akad. Wiss. Leipzig , vol.95 , pp. 3-22
    • Hopf, E.1
  • 12
    • 0142087697 scopus 로고    scopus 로고
    • Multiple slowly oscillating periodic solutions in coupled lossless transmission lines
    • DOI 10.1016/S1468-1218(03)00040-3, PII S1468121803000403
    • W. Krawcewicz, S. Ma and J. Wu, Multiple slowly oscillating periodic solutions in coupled lossless transmission lines. Nonlinear Anal. Real World Appl., 5 (2004), no. 2, 309-354. MR2025070 (2004i:34183) (Pubitemid 37282262)
    • (2004) Nonlinear Analysis: Real World Applications , vol.5 , Issue.2 , pp. 309-354
    • Krawcewicz, W.1    Ma, S.2    Wu, J.3
  • 13
    • 33747426298 scopus 로고    scopus 로고
    • Hopf bifurcation calculations for scalar neutral delay differential equations
    • DOI 10.1088/0951-7715/19/9/005, PII S0951771506206078, 005
    • M. Weedermann, Hopf bifurcation calculations for scalar neutral delay differential equations, Nonlinearity, 19 (2006), 2091-2102. MR2256652 (2007g:34149) (Pubitemid 44249943)
    • (2006) Nonlinearity , vol.19 , Issue.9 , pp. 2091-2102
    • Weedermann, M.1
  • 14
    • 33646864830 scopus 로고    scopus 로고
    • Symmetric functional differential equations and neural networks with memory
    • DOI 10.1090/S0002-9947-98-02083-2
    • J. Wu, Symmetric functional differential equations and neural networks with memory, Trans. Amer. Math. Soc., 350 (1998), 4799-4838. MR1451617 (99i:34104) (Pubitemid 128166065)
    • (1998) Transactions of the American Mathematical Society , vol.350 , Issue.12 , pp. 4799-4838
    • Wu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.