메뉴 건너뛰기




Volumn 14, Issue 3, 2006, Pages 465-481

On C1-persistently expansive homoclinic classes

Author keywords

Dominated Splitting; Expansiveness; Homoclinic Classes; Hyperbolicity

Indexed keywords


EID: 33644535167     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2006.14.465     Document Type: Article
Times cited : (39)

References (18)
  • 1
    • 51249168224 scopus 로고
    • The set of axiom A diffeomorphisms with no cycles
    • [Ao]
    • [Ao] N. AOKI, The set of axiom A diffeomorphisms with no cycles., Bol. Soc. Bras. Mat., Nova Sér., 23, No.1-2, (1992), p. 21-65.
    • (1992) Bol. Soc. Bras. Mat., Nova Sér. , vol.23 , Issue.1-2 , pp. 21-65
    • Aoki, N.1
  • 2
    • 85009367586 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • [Bo]
    • [Bo] R. BOWEN, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Springer Lecture Notes in Math, 470, 1975.
    • (1975) Springer Lecture Notes in Math , vol.470
    • Bowen, R.1
  • 3
    • 84966262519 scopus 로고
    • Necessary conditions for stability if diffeomorphisms
    • [Fr]
    • [Fr] J. FRANKS, Necessary conditions for stability if diffeomorphisms, Trans. Amer. Math. Soc., 158 (1971), p. 301-308.
    • (1971) Trans. Amer. Math. Soc. , vol.158 , pp. 301-308
    • Franks, J.1
  • 4
    • 0009970427 scopus 로고
    • Expansiveness, hyperbolicity and hausdorff dimension
    • [Ft]
    • [Ft] FATHI A., Expansiveness, Hyperbolicity and Hausdorff Dimension, Communications in Mathematical Physics, 126 (1989), p. 249-262.
    • (1989) Communications in Mathematical Physics , vol.126 , pp. 249-262
    • Fathi, A.1
  • 5
    • 84971840225 scopus 로고
    • 1(M) satisfy Axiom A
    • [Ha]
    • 1(M) satisfy Axiom A., Ergodic Theory Dyn. Syst., 12, No.2 (1992), p. 233-253.
    • (1992) Ergodic Theory Dyn. Syst. , vol.12 , Issue.2 , pp. 233-253
    • Hayashi, S.1
  • 8
    • 0010004484 scopus 로고
    • Expansive diffeomorphisms
    • [Ma1] Springer, Berlin
    • [Ma1] R. MAÑÉ, Expansive diffeomorphisms, Lectures Notes in Mathematics, Springer, Berlin, 468 (1975), p. 162-174.
    • (1975) Lectures Notes in Mathematics , vol.468 , pp. 162-174
    • Mañé, R.1
  • 9
    • 49349128830 scopus 로고
    • Contributions to the stability conjecture
    • [Ma2]
    • [Ma2] R. MAÑÉ, Contributions to the Stability Conjecture, Topology, 17 (1978), p. 383-396.
    • (1978) Topology , vol.17 , pp. 383-396
    • Mañé, R.1
  • 10
    • 0000201494 scopus 로고
    • An ergodic closing lemma
    • [Ma3]
    • [Ma3] R. MAÑÉ, An ergodic closing lemma, Annals of Mathematics, 116 (1982), p. 503-540.
    • (1982) Annals of Mathematics , vol.116 , pp. 503-540
    • Mañé, R.1
  • 11
    • 84966239850 scopus 로고
    • Hyperbolic limit sets
    • [Nh] May
    • [Nh] S. E. NEWHOUSE, Hyperbolic Limit Sets, Trans. of the Amer. Math. Soc., Vol. 167 (May 1972), p. 125-150.
    • (1972) Trans. of the Amer. Math. Soc. , vol.167 , pp. 125-150
    • Newhouse, S.E.1
  • 13
    • 0034347511 scopus 로고    scopus 로고
    • Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
    • [PS1]
    • [PS1] E. PUJALS, M. SAMBARINO, Homoclinic tangencies and hyperbolicity for surface diffeomorphisms, Annals of Mathematics, 151 (2000), p. 961-1023.
    • (2000) Annals of Mathematics , vol.151 , pp. 961-1023
    • Pujals, E.1    Sambarino, M.2
  • 15
    • 0003267742 scopus 로고
    • Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations
    • [PT] Cambridge University Press
    • [PT] PALIS, J; TAKENS, F., Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, Cambridge Studies in Advanced Mathematics. 35, Cambridge University Press 1993.
    • (1993) Cambridge Studies in Advanced Mathematics , vol.35
    • Palis, J.1    Takens, F.2
  • 16
    • 0002737270 scopus 로고
    • Diffeomorphisms with many periodic points
    • [Sm1] Princeton University Press
    • [Sm1] S. SMALE, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology, Princeton University Press 1965.
    • (1965) Differential and Combinatorial Topology
    • Smale, S.1
  • 17
    • 0002603899 scopus 로고
    • The Ω-stability theorem
    • [Sm2]
    • [Sm2] S. SMALE, The Ω-stability theorem, Proc. Sympos. Pure Math. AMS, vol. 14 (1970), p. 289-297.
    • (1970) Proc. Sympos. Pure Math. AMS , vol.14 , pp. 289-297
    • Smale, S.1
  • 18
    • 0041972666 scopus 로고    scopus 로고
    • Homoclinic tangencies and dominated splittings
    • [We]
    • [We] L. WEN, Homoclinic Tangencies and Dominated Splittings, Nonlinearity, 15 (No.5), p. 2002-1445.1469
    • Nonlinearity , vol.15 , Issue.5
    • Wen, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.