메뉴 건너뛰기




Volumn 126, Issue 1, 1996, Pages 1-47

Almost planar homoclinic loops in ℝ3

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030594280     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0042     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 85029961938 scopus 로고    scopus 로고
    • Partially hyperbolic fixed points with constraints
    • to appear
    • 1. P. BONCKAERT, Partially hyperbolic fixed points with constraints, Trans. Amer. Math. Soc., to appear.
    • Trans. Amer. Math. Soc.
    • Bonckaert, P.1
  • 3
    • 85029964847 scopus 로고    scopus 로고
    • Homoclinic twisting bifurcations and cusp horseshoe maps
    • to appear
    • 3. B. DENG, Homoclinic twisting bifurcations and cusp horseshoe maps, J. Dynam. Differential Equations, to appear.
    • J. Dynam. Differential Equations
    • Deng, B.1
  • 4
    • 0001441740 scopus 로고
    • Invariant manifolds
    • Springer-Verlag, Berlin/New York
    • 4. M. HIRSCH, C. PUGH, AND M. SHUB, "Invariant Manifolds," Lecture Notes in Mathematics, Vol. 583, Springer-Verlag, Berlin/New York, 1977.
    • (1977) Lecture Notes in Mathematics , vol.583
    • Hirsch, M.1    Pugh, C.2    Shub, M.3
  • 6
    • 84957312349 scopus 로고
    • Finitely smooth normal forms of local families of diffeomorphisms and vector fields
    • 6. Y. IL'YASHENKO AND S. YAKOVENKO, Finitely smooth normal forms of local families of diffeomorphisms and vector fields, Russian Math. Surv. 46 (1991), 1-43.
    • (1991) Russian Math. Surv. , vol.46 , pp. 1-43
    • Il'yashenko, Y.1    Yakovenko, S.2
  • 7
    • 0000474566 scopus 로고
    • Generalized hopf bifurcation and its dual: Generalized homoclinic bifurcation
    • 7. P. JOYAL, Generalized Hopf bifurcation and its dual: generalized homoclinic bifurcation, SIAM J. Appl. Math. 48 (1988), 481-496.
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 481-496
    • Joyal, P.1
  • 8
    • 0011574527 scopus 로고
    • Un théorème de préparation pour les fonctions à développement thébychévien
    • 8. P. JOYAL, Un théorème de préparation pour les fonctions à développement thébychévien, Ergod. Theory Dynam. Syst. 14 (1994), 305-329.
    • (1994) Ergod. Theory Dynam. Syst. , vol.14 , pp. 305-329
    • Joyal, P.1
  • 9
    • 38149146164 scopus 로고
    • The generalized homoclinic bifurcation
    • 9. P. JOYAL, The generalized homoclinic bifurcation, J. Differential Equations 107 (1994), 1-45.
    • (1994) J. Differential Equations , vol.107 , pp. 1-45
    • Joyal, P.1
  • 10
    • 0002714708 scopus 로고
    • Saddle quantities and applications
    • 10. P. JOYAL AND C. ROUSSEAU, Saddle quantities and applications, J. Differential Equations 78 (1989), 374-389.
    • (1989) J. Differential Equations , vol.78 , pp. 374-389
    • Joyal, P.1    Rousseau, C.2
  • 11
    • 21344491754 scopus 로고
    • On periodic orbits and homoclinic bifurcations in Chua's circuit with smooth nonlinearity
    • 11. A. KHIBNIK, D. ROOSE, AND L. O. CHUA, On periodic orbits and homoclinic bifurcations in Chua's circuit with smooth nonlinearity, Bifurcations Chaos 3 (1993), 363-384.
    • (1993) Bifurcations Chaos , vol.3 , pp. 363-384
    • Khibnik, A.1    Roose, D.2    Chua, L.O.3
  • 12
    • 85029968519 scopus 로고    scopus 로고
    • Bifurcations to n-homoclinic orbits and N-periodic orbits in vector fields
    • to appear
    • 12. M. KISAKA, H. KOKUBU, AND H. OKA, Bifurcations to N-homoclinic orbits and N-periodic orbits in vector fields, J. Dynam. Differential Equations, to appear.
    • J. Dynam. Differential Equations
    • Kisaka, M.1    Kokubu, H.2    Oka, H.3
  • 13
    • 0000527304 scopus 로고
    • Bifurcations de polycycles infinis pour les champs de vecteurs polynomiaux
    • 13. M. EL MORSALANI, Bifurcations de polycycles infinis pour les champs de vecteurs polynomiaux, Ann. de l'Univ. de Toulouse 3 (1994), 387-410.
    • (1994) Ann. de L'univ. de Toulouse , vol.3 , pp. 387-410
    • El Morsalani, M.1
  • 14
    • 85029967617 scopus 로고    scopus 로고
    • Perturbations of graphics with semi-hyperbolic singularities
    • 14. M. EL MORSALANI, Perturbations of graphics with semi-hyperbolic singularities, to appear in Bull Sci. Math..
    • Bull Sci. Math.
    • El Morsalani, M.1
  • 15
    • 0001491171 scopus 로고
    • Degenerate and nontrivial hyperbolic 2-polycycles: Appearance of two independent Ecalle-Roussarie compensators and Khovanshii's theory
    • 15. M. EL MORSALANI AND A. MOURTADA, Degenerate and nontrivial hyperbolic 2-polycycles: appearance of two independent Ecalle-Roussarie compensators and Khovanshii's theory, Nonlinearity 7 (1994), 1593-1604.
    • (1994) Nonlinearity , vol.7 , pp. 1593-1604
    • El Morsalani, M.1    Mourtada, A.2
  • 16
    • 0001309891 scopus 로고
    • "Cyclicité finie des polycycles hyperboliques des champs de vecteurs du plan: Mise sous forme normale,"
    • Springer-Verlag, Berlin/New York
    • 16. A. MOURTADA, "Cyclicité finie des polycycles hyperboliques des champs de vecteurs du plan: mise sous forme normale," Lecture Notes in Mathematics, Vol. 1455, pp. 272-314, Springer-Verlag, Berlin/New York, 1990.
    • (1990) Lecture Notes in Mathematics , vol.1455 , pp. 272-314
    • Mourtada, A.1
  • 17
    • 0001584408 scopus 로고
    • Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan: Algorithme de finitude
    • 17. A. MOURTADA, Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan: algorithme de finitude, Ann. Institut Fourier (1991), 719-753.
    • (1991) Ann. Institut Fourier , pp. 719-753
    • Mourtada, A.1
  • 18
    • 51249171477 scopus 로고
    • On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
    • 18. R. ROUSSARIE, On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields, Bol. Soc. Bras. Mat. 17 (1986), 67-101.
    • (1986) Bol. Soc. Bras. Mat. , vol.17 , pp. 67-101
    • Roussarie, R.1
  • 19
    • 44949281273 scopus 로고
    • Zeroes of complete elliptic integrals for 1:2 resonance
    • 19. C. ROUSSEAU AND H. ZOLA̧DEK, Zeroes of complete elliptic integrals for 1:2 resonance, J. Differential Equations 94 (1991), 41-54.
    • (1991) J. Differential Equations , vol.94 , pp. 41-54
    • Rousseau, C.1    Zola̧dek, H.2
  • 21
    • 0000542238 scopus 로고
    • On the structure of local homeomorphisms of euclidean n-space II
    • 21. S. STERNBERG, On the structure of local homeomorphisms of Euclidean n-space II, Amer. J. Math. 80 (1958), 623-631.
    • (1958) Amer. J. Math. , vol.80 , pp. 623-631
    • Sternberg, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.