메뉴 건너뛰기




Volumn 354, Issue 2, 2002, Pages 795-806

Transverse surfaces and attractors for 3-flows

Author keywords

Anosov flow; Cross section; Hyperbolicity

Indexed keywords


EID: 0035981923     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-01-02822-7     Document Type: Article
Times cited : (2)

References (15)
  • 2
    • 0002202434 scopus 로고
    • Knotted periodic orbits in dynamical systems II: Knot holders for fibered knots
    • BW, Low-dimensional Topology, Amer. Math. Soc., Providence, R. I., MR 86a:58084
    • [BW] Birman, J., Williams, R., Knotted periodic orbits in dynamical systems II: Knot holders for fibered knots, Low-dimensional Topology, Contemp. Math. 20, Amer. Math. Soc., Providence, R. I., (1983), 1-60. MR 86a:58084.
    • (1983) Contemp. Math. , vol.20 , pp. 1-60
    • Birman, J.1    Williams, R.2
  • 3
    • 0001677629 scopus 로고
    • Un example de flot d'anosov transitif transverse à un tore et non conjugué à une suspension
    • BL. MR 95j:58129
    • [BL] Bonatti, C., Langevin, R., Un example de flot d'Anosov transitif transverse à un tore et non conjugué à une suspension, Ergod. Theory Dynam. Sys. 14 (1994), 633-643. MR 95j:58129.
    • (1994) Ergod. Theory Dynam. Sys. , vol.14 , pp. 633-643
    • Bonatti, C.1    Langevin, R.2
  • 4
    • 0000650673 scopus 로고
    • Mixing Anosov flows
    • Bo. MR 52:11999
    • [Bo] Bowen, R., Mixing Anosov flows, Topology 15 (1976), 77-79. MR 52:11999.
    • (1976) Topology , vol.15 , pp. 77-79
    • Bowen, R.1
  • 6
    • 0033164372 scopus 로고    scopus 로고
    • Surface transverse to pseudo-Anosov flows and virtual fiber in 3-manifolds
    • Fe1. MR 2001a:57041
    • [Fe1] Fenley, S., Surface transverse to pseudo-Anosov flows and virtual fiber in 3-manifolds, Topology 38 (1999), 823-859. MR 2001a:57041.
    • (1999) Topology , vol.38 , pp. 823-859
    • Fenley, S.1
  • 7
    • 0031494531 scopus 로고    scopus 로고
    • Incompressible tort transverse to Anosov flows in 3-manifolds
    • Fe2. MR 98c:58122
    • [Fe2] Fenley, S., Incompressible tort transverse to Anosov flows in 3-manifolds, Ergod. Theory Dynam. Sys. 17 (1997), 105-121. MR 98c:58122.
    • (1997) Ergod. Theory Dynam. Sys. , vol.17 , pp. 105-121
    • Fenley, S.1
  • 8
    • 0001766992 scopus 로고
    • The geometry of cross sections to flows
    • Fr. MR 84d:58068
    • [Fr] Fried, D., The geometry of cross sections to flows, Topology 21 (1982), 353-371. MR 84d:58068.
    • (1982) Topology , vol.21 , pp. 353-371
    • Fried, D.1
  • 9
    • 51649168546 scopus 로고
    • Structural stability of Lorenz attractor
    • GW. MR 82b:58055a
    • [GW] Guckenheimer, J., Williams, R.F., Structural stability of Lorenz attractor, Publ. Math. IHES 50 (1979), 59-72. MR 82b:58055a.
    • (1979) Publ. Math. IHES , vol.50 , pp. 59-72
    • Guckenheimer, J.1    Williams, R.F.2
  • 10
    • 0001441740 scopus 로고
    • Invariant manifolds
    • HPS, Springer-Verlag. MR 58:18595
    • [HPS] Hirsch, M., Pugh, C., Shub, M., Invariant manifolds, Lecture Notes in Math. 583 (1977), Springer-Verlag. MR 58:18595.
    • (1977) Lecture Notes in Math. , vol.583
    • Hirsch, M.1    Pugh, C.2    Shub, M.3
  • 11
    • 0003241363 scopus 로고
    • Hyperbolic nonwandering sets on two-dimensional manifolds
    • NP, Peixoto (Ed.), Salvador. MR 49:4044
    • [NP] Newhouse, S., Palis, J., Hyperbolic nonwandering sets on two-dimensional manifolds, Dynamical Systems, Peixoto (Ed.), Salvador, (1973), 293-301. MR 49:4044.
    • (1973) Dynamical Systems , pp. 293-301
    • Newhouse, S.1    Palis, J.2
  • 12
    • 0031280735 scopus 로고    scopus 로고
    • Singular strange attractors on the boundary of Morse-Smale systems
    • MP. MR 98k:58137
    • [MP] Morales, C.A., Pujals, E.R., Singular strange attractors on the boundary of Morse-Smale systems, Ann. Ec. Norm. Sup., 30 (1997), 693-717. MR 98k:58137.
    • (1997) Ann. Ec. Norm. Sup. , vol.30 , pp. 693-717
    • Morales, C.A.1    Pujals, E.R.2
  • 14
    • 0001622539 scopus 로고
    • The Ω-stability theorem for flows
    • PS. MR 44:4782
    • [PS] Pugh, C., Shub, M., The Ω-stability theorem for flows, Inventiones Math. 11 (1970), 150-158. MR 44:4782.
    • (1970) Inventiones Math. , vol.11 , pp. 150-158
    • Pugh, C.1    Shub, M.2
  • 15
    • 0004043484 scopus 로고
    • Dynamical systems
    • R, Studies in Advanced Mathematics CRC Press, Boca Raton, FL. MR 97e:58064
    • [R] Robinson, C., Dynamical Systems, Stability, symbolic dynamics, and chaos, Studies in Advanced Mathematics CRC Press, Boca Raton, FL (1995). MR 97e:58064.
    • (1995) Stability, symbolic dynamics, and chaos
    • Robinson, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.