메뉴 건너뛰기




Volumn 19, Issue 1, 1999, Pages 51-75

Numerical continuation of degenerate homoclinic orbits in planar systems

Author keywords

[No Author keywords available]

Indexed keywords

CODIMENSION; EQUILIBRIUM POINT; HIGHER-ORDER; HOMOCLINIC CONNECTION; HOMOCLINIC ORBITS; NUMERICAL ALGORITHMS; NUMERICAL CONTINUATION; PLANAR SYSTEMS;

EID: 0033248363     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/19.1.51     Document Type: Article
Times cited : (7)

References (30)
  • 2
    • 0001340513 scopus 로고
    • The numerical computation of connecting orbits in dynamical systems
    • BEYN, W.-J. 1990 The numerical computation of connecting orbits in dynamical systems. IMA J. Numer. Anal. 9, 379-405.
    • (1990) IMA J. Numer. Anal. , vol.9 , pp. 379-405
    • Beyn, W.-J.1
  • 3
    • 0028497510 scopus 로고
    • Bifurcation of limit cycles from centers and separatrix cycles of planar analytic systems
    • BLOWS, T. R. & PERKO, L. M. 1994 Bifurcation of limit cycles from centers and separatrix cycles of planar analytic systems. SIAM Rev. 36, 341-376.
    • (1994) SIAM Rev. , vol.36 , pp. 341-376
    • Blows, T.R.1    Perko, L.M.2
  • 4
    • 21844486228 scopus 로고
    • Numerical detection and continuation of codimension-two homoclinic bifurcations
    • CHAMPNEYS, A. R. & KUZNETSOV, Y. 1994 Numerical detection and continuation of codimension-two homoclinic bifurcations. Int. J. Bifur. Chaos Appl. Sci. Eng. 4, 785-822.
    • (1994) Int. J. Bifur. Chaos Appl. Sci. Eng. , vol.4 , pp. 785-822
    • Champneys, A.R.1    Kuznetsov, Y.2
  • 12
    • 2042442839 scopus 로고
    • Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study
    • FRIEDMAN, M. J. & DOEDEL, E. J. 1993 Computational methods for global analysis of homoclinic and heteroclinic orbits: a case study. J. Dyn. Diff. Eq. 5, 37-57.
    • (1993) J. Dyn. Diff. Eq. , vol.5 , pp. 37-57
    • Friedman, M.J.1    Doedel, E.J.2
  • 15
    • 0000474566 scopus 로고
    • Generalized Hopf bifurcation and its dual generalized homoclinic bifurcation
    • JOYAL, P. 1988 Generalized Hopf bifurcation and its dual generalized homoclinic bifurcation. SIAM J. Appl. Math. 48, 481-496.
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 481-496
    • Joyal, P.1
  • 16
    • 0002714708 scopus 로고
    • Saddle quantities and applications
    • JOYAL, P., & ROUSSEAU, C. 1989 Saddle quantities and applications. J. Diff. Eq. 78, 374-399.
    • (1989) J. Diff. Eq. , vol.78 , pp. 374-399
    • Joyal, P.1    Rousseau, C.2
  • 19
    • 0001309891 scopus 로고
    • Cyclicité finie des vecteurs du plan. Mise sous forme normale
    • (J.-P. Françoise & R. Roussarie, eds). Berlin: Springer
    • MOURTADA, A. 1989 Cyclicité finie des vecteurs du plan. Mise sous forme normale. Bifurcations of Planar Vector Fields (Springer Lecture Notes in Mathematics 1455) (J.-P. Françoise & R. Roussarie, eds). Berlin: Springer, pp 272-314.
    • (1989) Bifurcations of Planar Vector Fields (Springer Lecture Notes in Mathematics 1455) , pp. 272-314
    • Mourtada, A.1
  • 20
    • 0019382427 scopus 로고
    • A pre-pattern formation mechanism for animal coat markings
    • MURRAY, J. D. 1981 A pre-pattern formation mechanism for animal coat markings. J. Theor. Biol. 88, 161-199.
    • (1981) J. Theor. Biol. , vol.88 , pp. 161-199
    • Murray, J.D.1
  • 22
    • 0000940997 scopus 로고
    • Bifurcation of a noncourse separatrix loop
    • NOZDRACHOVA, V. 1982 Bifurcation of a noncourse separatrix loop. Diff. Eq. 18, 1098-1104.
    • (1982) Diff. Eq. , vol.18 , pp. 1098-1104
    • Nozdrachova, V.1
  • 26
    • 51249171477 scopus 로고
    • On the number of limit cycles which appear by perturbation of a separatrix loop of planar vector fields
    • ROUSSARIE, R. 1986 On the number of limit cycles which appear by perturbation of a separatrix loop of planar vector fields. Bol. Soc. Brasil. Mat. N.S. 17, 67-101.
    • (1986) Bol. Soc. Brasil. Mat. N.S. , vol.17 , pp. 67-101
    • Roussarie, R.1
  • 28
    • 0000698118 scopus 로고
    • Bifurcations of polynomial vector fields in the plane
    • SOTOMAYOR, J. & PATERLINI, R. 1987 Bifurcations of polynomial vector fields in the plane. Conf. Proc. Can. Math. Soc. 8, 665-685.
    • (1987) Conf. Proc. Can. Math. Soc. , vol.8 , pp. 665-685
    • Sotomayor, J.1    Paterlini, R.2
  • 29
    • 0003145279 scopus 로고
    • Artificial enzyme membranes, transport, memory, and oscillatory phenomena
    • (D. Thomas and J. P. Kernévez, eds). Berlin: Springer
    • THOMAS, D. 1975 Artificial enzyme membranes, transport, memory, and oscillatory phenomena. Analysis and Control of Immobilized Enzyme Systems (D. Thomas and J. P. Kernévez, eds). Berlin: Springer, pp 115-150.
    • (1975) Analysis and Control of Immobilized Enzyme Systems , pp. 115-150
    • Thomas, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.