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Volumn 12, Issue 1, 1999, Pages 59-78

Homoclinic loop bifurcations on a Möbius band

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EID: 0032623226     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/1/005     Document Type: Article
Times cited : (4)

References (22)
  • 1
    • 0000184573 scopus 로고
    • Homoclinic bifurcation at resonant eigenvalues
    • Chow S-N, Deng B and Fiedler B 1990 Homoclinic bifurcation at resonant eigenvalues J. Dyn. Diff. Equ. 2 177-244
    • (1990) J. Dyn. Diff. Equ. , vol.2 , pp. 177-244
    • Chow, S.-N.1    Deng, B.2    Fiedler, B.3
  • 2
    • 79955577320 scopus 로고
    • On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve I
    • Gavrilov N K and L P Šil'nikov 1972 On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve I Math. USSR Sbornik 17 467-85
    • (1972) Math. USSR Sbornik , vol.17 , pp. 467-485
    • Gavrilov, N.K.1    Šil'nikov, L.P.2
  • 4
    • 0009362495 scopus 로고    scopus 로고
    • Prépublication de l'Université de Montréal
    • n (Prépublication de l'Université de Montréal) pp 1-33
    • (1998) n , pp. 1-33
    • Guimond, L.S.1
  • 5
    • 0030147357 scopus 로고    scopus 로고
    • Global aspects of homoclinic bifurcations of vector fields
    • Homburg A J 1996 Global aspects of homoclinic bifurcations of vector fields Mem. Amer. Math. Soc. 121 Viii Homburg A J 1996 Global aspects of homoclinic bifurcations of vector fields Mem. Amer. Math. Soc. 121 128
    • (1996) Mem. Amer. Math. Soc. , vol.121 , Issue.8
    • Homburg, A.J.1
  • 6
    • 0030147357 scopus 로고    scopus 로고
    • Global aspects of homoclinic bifurcations of vector fields
    • Homburg A J 1996 Global aspects of homoclinic bifurcations of vector fields Mem. Amer. Math. Soc. 121 Viii Homburg A J 1996 Global aspects of homoclinic bifurcations of vector fields Mem. Amer. Math. Soc. 121 128
    • (1996) Mem. Amer. Math. Soc. , vol.121 , pp. 128
    • Homburg, A.J.1
  • 7
    • 84957312349 scopus 로고
    • Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
    • Il'yashenko Y S and Yakovenko S Y 1991 Finitely-smooth normal forms of local families of diffeomorphisms and vector fields Russ. Math. Surv. 46 1-43
    • (1991) Russ. Math. Surv. , vol.46 , pp. 1-43
    • Il'yashenko, Y.S.1    Yakovenko, S.Y.2
  • 8
    • 36149029122 scopus 로고
    • Cyclicité finie des lacets doubles non triviaux
    • Jebrane M A and Mourtada A 1994 Cyclicité finie des lacets doubles non triviaux Nonlinearity 7 1349-65
    • (1994) Nonlinearity , vol.7 , pp. 1349-1365
    • Jebrane, M.A.1    Mourtada, A.2
  • 9
    • 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. 48 481-96
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 481-496
    • Joyal, P.1
  • 10
    • 0001002402 scopus 로고
    • Bifurcations to N-homoclinic orbits and N-periodic orbits in vector fields
    • Kisaka M, Kokubu H and Oka H 1993 Bifurcations to N-homoclinic orbits and W-periodic orbits in vector fields J. Dyn. Diff. Equ. 5 305-57
    • (1993) J. Dyn. Diff. Equ. , vol.5 , pp. 305-357
    • Kisaka, M.1    Kokubu, H.2    Oka, H.3
  • 14
    • 50549184010 scopus 로고
    • On structural stability
    • Peixoto MM 1962 On structural stability Topology 1 101-20
    • (1962) Topology , vol.1 , pp. 101-120
    • Peixoto, M.M.1
  • 15
    • 44949281273 scopus 로고
    • Zeroes of complete elliptic integrals for 1:2 resonance
    • Rousseau C and Żoła̧dek H 1991 Zeroes of complete elliptic integrals for 1:2 resonance J. Diff. Eqns 94 41-54
    • (1991) J. Diff. Eqns , vol.94 , pp. 41-54
    • Rousseau, C.1    Zoła̧dek, H.2
  • 16
    • 51249171477 scopus 로고
    • On the number of limit cycles wich appear by perturbation of separatrix loop of planar vector fields
    • Roussarie R 1986 On the number of limit cycles wich appear by perturbation of separatrix loop of planar vector fields Bol. Soc. Bras. Mat. 17 67-101
    • (1986) Bol. Soc. Bras. Mat. , vol.17 , pp. 67-101
    • Roussarie, R.1
  • 21
    • 0000407964 scopus 로고
    • Some cases of generation period motions from singular trajectories
    • in Russian
    • Šil'nikov L P 1963 Some cases of generation period motions from singular trajectories Mat. Sbornik 61 443-66 (in Russian)
    • (1963) Mat. Sbornik , vol.61 , pp. 443-466
    • Šil'nikov, L.P.1
  • 22
    • 0002422398 scopus 로고
    • Branching of double pulse solutions from single pulse solutions in nerve axon equations
    • Yanagida E 1987 Branching of double pulse solutions from single pulse solutions in nerve axon equations J. Diff. Eqns 66 243-62
    • (1987) J. Diff. Eqns , vol.66 , pp. 243-262
    • Yanagida, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.