메뉴 건너뛰기




Volumn 16, Issue 5, 1996, Pages 1071-1086

Strange attractor in the unfolding of an inclination-flip homoclinic orbit

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030524098     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S014338570001018X     Document Type: Article
Times cited : (28)

References (16)
  • 1
    • 38249001268 scopus 로고
    • On the continuous dependence of the smooth change of coordinates in parametrized normal form theorems
    • P. Bonckaert. On the continuous dependence of the smooth change of coordinates in parametrized normal form theorems. J. Diff. Eq 106 (1993), 107-120.
    • (1993) J. Diff. Eq , vol.106 , pp. 107-120
    • Bonckaert, P.1
  • 2
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • M. Benedicks and L. Carleson. The dynamics of the Hénon map. Ann. math. 133 (1991), 73-169.
    • (1991) Ann. Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 3
    • 0000851835 scopus 로고
    • Homoclinic twisting bifurcation and cusp horseshoe maps
    • B. Deng. Homoclinic twisting bifurcation and cusp horseshoe maps. J. Dyn. Diff. Eq. 5 (1993), 417-467.
    • (1993) J. Dyn. Diff. Eq. , vol.5 , pp. 417-467
    • Deng, B.1
  • 4
    • 0002591468 scopus 로고
    • A two dimensional mapping with a strange attractor
    • M. Hénon. A two dimensional mapping with a strange attractor. Comm. Math. Phys. 50 (1976), 69-77.
    • (1976) Comm. Math. Phys. , vol.50 , pp. 69-77
    • Hénon, M.1
  • 6
    • 0001559874 scopus 로고
    • The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
    • A. J. Homburg, H. Kokubu and M. Krupa. The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Ergod. Th. & Dynam. Sys. 14 (1994), 667-693.
    • (1994) Ergod. Th. & Dynam. Sys. , vol.14 , pp. 667-693
    • Homburg, A.J.1    Kokubu, H.2    Krupa, M.3
  • 8
    • 0242344635 scopus 로고
    • Abundance of strange attractors
    • L. Mora and M. Viana. Abundance of strange attractors. Acta Math. 171 (1993), 1-71.
    • (1993) Acta Math. , vol.171 , pp. 1-71
    • Mora, L.1    Viana, M.2
  • 10
    • 32044475236 scopus 로고
    • Diffeomorphisms with infinitely many sinks
    • S. Newhouse. Diffeomorphisms with infinitely many sinks. Topology 13 (1974), 9-18.
    • (1974) Topology , vol.13 , pp. 9-18
    • Newhouse, S.1
  • 11
    • 84957149305 scopus 로고
    • On the geometry of hyperbolic attractors of smooth cascades
    • R. Plykin. On the geometry of hyperbolic attractors of smooth cascades. Russian Math. Surveys 39 (1984), 85-131.
    • (1984) Russian Math. Surveys , vol.39 , pp. 85-131
    • Plykin, R.1
  • 13
    • 0041079412 scopus 로고
    • Bifurcation to infinitely many sinks
    • C. Robinson. Bifurcation to infinitely many sinks. Comm. Math. Phys. 99 (1974), 154-175.
    • (1974) Comm. Math. Phys. , vol.99 , pp. 154-175
    • Robinson, C.1
  • 14
    • 84971972587 scopus 로고
    • Lorenz-attractors through Shil'nikov-type bifurcation. Part 1
    • M. R. Rychlik. Lorenz-attractors through Shil'nikov-type bifurcation. Part 1. Ergod. Th. & Dynam. Sys. 10 (1990), 793-821.
    • (1990) Ergod. Th. & Dynam. Sys. , vol.10 , pp. 793-821
    • Rychlik, M.R.1
  • 16
    • 0001234956 scopus 로고
    • A case of the existence of a denumerable set of periodic motions
    • L. P. Shil'nikov. A case of the existence of a denumerable set of periodic motions. Sov. Math. Dockl. 8 (1965), 163-166.
    • (1965) Sov. Math. Dockl. , vol.8 , pp. 163-166
    • Shil'nikov, L.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.