메뉴 건너뛰기




Volumn 26, Issue 1, 2010, Pages 1-42

Generation of homoclinic tangencies by C1-perturbations

Author keywords

Bifurcation; Dominated splitting; Homoclinic class; Homoclinic tangency

Indexed keywords


EID: 76749126265     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2010.26.1     Document Type: Article
Times cited : (32)

References (20)
  • 2
    • 4944255089 scopus 로고    scopus 로고
    • Récurrence et généricité
    • C. Bonatti and S. Crovisier, Récurrence et géné ricité, Invent. Math., 158 (2004), 33-104.
    • (2004) Invent. Math. , vol.158 , pp. 33-104
    • Bonatti, C.1    Crovisier, S.2
  • 3
    • 0032622909 scopus 로고    scopus 로고
    • Connexions hétéroclines et généricité d'une infinité de puits et de sources
    • 4è série, tome
    • C. Bonatti and L. J. Diaz, Connexions hétéroclines et généricité d'une infinité de puits et de sources, Ann. Sci. de l'École Normale Supérieure, 4è série, tome 32 (1999), 135-150.
    • (1999) Ann. Sci. de L'École Normale Supérieure , vol.32 , pp. 135-150
    • Bonatti, C.1    Diaz, L.J.2
  • 4
    • 76749084530 scopus 로고    scopus 로고
    • 1 -generic dichotomy for difjeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources
    • 1 -generic dichotomy for difjeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources, Ann. of Math., 158 (2000), 355418.
    • (2000) Ann. of Math. , vol.158 , pp. 355418
    • Bonatti, C.1    Diaz, L.J.2    Pujais, E.R.3
  • 7
    • 34848826204 scopus 로고    scopus 로고
    • On the existence of non-trivial homoclinic classes
    • C. Bonatti, S. Gan and L. Wen, On the existence of non-trivial homoclinic classes, Ergodic Theory Dynam. Systems, 27 (2007), 1473-1508.
    • (2007) Ergodic Theory Dynam. Systems , vol.27 , pp. 1473-1508
    • Bonatti, C.1    Gan, S.2    Wen, L.3
  • 8
    • 0003262604 scopus 로고
    • Isolated invariant sets and the Morse index
    • Providence, R.I.
    • C. Conley, Isolated invariant sets and the Morse index, American Mathematical Society, Providence, R.I., 38 (1978).
    • (1978) American Mathematical Society , vol.38
    • Conley, C.1
  • 11
    • 84966262519 scopus 로고
    • Necessary conditions for stability of difjeomorphisms
    • J. Franks, Necessary conditions for stability of difjeomorphisms, Transactions of the A.M.S, 158 (1971), 302-304.
    • (1971) Transactions of the A.M.S , vol.158 , pp. 302-304
    • Franks, J.1
  • 12
    • 0002258483 scopus 로고
    • On the stability conjecture
    • S. Liao, On the stability conjecture, Chinese Ann. of Math., 1 (1980), 9-30.
    • (1980) Chinese Ann. of Math. , vol.1 , pp. 9-30
    • Liao, S.1
  • 13
    • 0000201494 scopus 로고
    • An ergodic closing lemma
    • R. Man̄é, An ergodic closing lemma, Ann. of Math., 116 (1982), 503-540.
    • (1982) Ann. of Math. , vol.116 , pp. 503-540
    • Mané, R.1
  • 14
    • 84966239850 scopus 로고
    • Hyperbolic limit sets
    • S. Newhouse, Hyperbolic limit sets, Trans. Amer. Math. Soc., 167 (1972), 125-150.
    • (1972) Trans. Amer. Math. Soc. , vol.167 , pp. 125-150
    • Newhouse, S.1
  • 16
    • 0034347511 scopus 로고    scopus 로고
    • Homoclinic tangencies and hyperbolicity for surface difjeomorphisms
    • E. R. Pujais and M. Sambarino, Homoclinic tangencies and hyperbolicity for surface difjeomorphisms, Ann. of Math., 151 (2000), 961-1023.
    • (2000) Ann. of Math. , vol.151 , pp. 961-1023
    • Pujais, E.R.1    Sambarino, M.2
  • 18
    • 84968514104 scopus 로고
    • Differentiable dynamical systems
    • S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967), 747-817.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 747-817
    • Smale, S.1
  • 19
    • 0041972666 scopus 로고    scopus 로고
    • Homoclinic tangencies and dominated splittings
    • L. Wen, Homoclinic tangencies and dominated splittings, Nonlinearity, 15 (2002), 1445-1469.
    • (2002) Nonlinearity , vol.15 , pp. 1445-1469
    • Wen, L.1
  • 20
    • 12444320405 scopus 로고    scopus 로고
    • Generic difjeomorphisms away from homoclinic tangencies and heterodimensional cycles
    • L. Wen, Generic difjeomorphisms away from homoclinic tangencies and heterodimensional cycles, Bull. Braz. Math. Soc. (N.S.), 35 (2004), 419-452.
    • (2004) Bull. Braz. Math. Soc. (N.S.) , vol.35 , pp. 419-452
    • Wen, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.