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Volumn 30, Issue 3, 2000, Pages 1129-1137

Diffeomorphisms with the averageshadowing property on two-dimensional closed manifolds

Author keywords

Anosov diffeomorphism; Average shadowing property; Axiom A and the strong transversality condition; Pseudo orbit shadowing property; Random perturbation

Indexed keywords


EID: 0034348094     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1021477263     Document Type: Article
Times cited : (40)

References (9)
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    • M.L. Blank, Metric properties of £-trajectories of dynamical systems with stochastic behaviour, Ergodic Theory Dynamical Systems 8 (1988), 365-378.
    • (1988) Ergodic Theory Dynamical Systems , vol.8 , pp. 365-378
    • Blank, M.L.1
  • 2
    • 0039792477 scopus 로고
    • Small perturbations of chaotic dynamical systems
    • M.L. Blank, Small perturbations of chaotic dynamical systems, Russian Math. Surveys 44 (1989), 1-33.
    • (1989) Russian Math. Surveys , vol.44 , pp. 1-33
    • Blank, M.L.1
  • 3
    • 84966262519 scopus 로고
    • Necessary conditions for stability of diffeomorphisms
    • J. Franks, Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971), 301-308.
    • (1971) Trans. Amer. Math. Soc , vol.158 , pp. 301-308
    • Franks, J.1
  • 5
    • 0001570568 scopus 로고
    • Stability theorems and hyperbolicity in dynamical systems
    • C. Robinson, Stability theorems and hyperbolicity in dynamical systems, Rocky Mountain J. Math. 7 (1977), 425-437.
    • (1977) Rocky Mountain J. Math , vol.7 , pp. 425-437
    • Robinson, C.1
  • 6
    • 84972557768 scopus 로고
    • Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
    • K. Sakai, Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds, Osaka J. Math. 31 (1994), 373-386.
    • (1994) Osaka J. Math , vol.31 , pp. 373-386
    • Sakai, K.1
  • 8
    • 0002603899 scopus 로고
    • The Q-stability theorem, in Global analysis
    • S. Smale, The Q-stability theorem, in Global analysis, Proc. Amer. Math. Soc. 14 1970, 289-297.
    • (1970) Proc. Amer. Math. Soc , vol.14 , pp. 289-297
    • Smale, S.1
  • 9
    • 22644451294 scopus 로고
    • Diffeomorphisms approximated by Anosov on the 2-torus and their SRB measures
    • N. Sumi, Diffeomorphisms approximated by Anosov on the 2-torus and their SRB measures, Trans. Amer. Math. Soc. 351 (1991), 3373-3385
    • (1991) Trans. Amer. Math. Soc , vol.351 , pp. 3373-3385
    • Sumi, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.