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Volumn 168, Issue 1, 2001, Pages 57-75

Diffeomorphisms with weak shadowing

Author keywords

Axiom A; Morse Smale; No cycle condition; Pseudo orbits; Shadowing property; Strong transversality condition; Structurally stable; Weak shadowing property

Indexed keywords


EID: 0002072332     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm168-1-2     Document Type: Article
Times cited : (24)

References (13)
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    • Bonatti, C.1    Diaz, L.J.2
  • 2
    • 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
    • 49349128830 scopus 로고
    • Contributions to stability conjecture
    • R. Mañé, Contributions to stability conjecture, Topology 17 (1978), 383-396.
    • (1978) Topology , vol.17 , pp. 383-396
    • Mañé, R.1
  • 7
    • 0005533625 scopus 로고    scopus 로고
    • Shadowing in dynamical systems
    • Springer
    • _, Shadowing in Dynamical Systems, Lecture Notes in Math. 1706, Springer, 1999.
    • (1999) Lecture Notes in Math. , vol.1706
  • 8
    • 0013014706 scopus 로고    scopus 로고
    • Weak shadowing for two-dimensional diffeomorphisms
    • O. B. Plamenevskaya, Weak shadowing for two-dimensional diffeomorphisms, Vestnik St. Petersburg Univ. Math. 31 (1998), 49-56 (1999).
    • (1998) Vestnik St. Petersburg Univ. Math. , vol.31 , pp. 49-56
    • Plamenevskaya, O.B.1
  • 9
    • 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
  • 10
    • 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
  • 11
    • 0012910967 scopus 로고
    • Shadowing property and transversality condition
    • World Sci., Singapore
    • _, Shadowing property and transversality condition, in: Dynamical Systems & Chaos (Tokyo, 1994), Vol. 1, World Sci., Singapore, 1995, 233-238.
    • (1995) Dynamical Systems & Chaos (Tokyo, 1994) , vol.1 , pp. 233-238
  • 12
    • 0034348094 scopus 로고    scopus 로고
    • Diffeomorphisms with the average-shadowing property on 2-dimensional closed manifolds
    • _, Diffeomorphisms with the average-shadowing property on 2-dimensional closed manifolds, Rocky Mountain J. Math. 30 (2000), 1129-1137.
    • (2000) Rocky Mountain J. Math. , vol.30 , pp. 1129-1137
  • 13
    • 0002603899 scopus 로고
    • The Ω-stability theorem
    • S. Smale, The Ω-stability theorem, Proc. Amer. Math. Soc. 14 (1970), 289-297.
    • (1970) Proc. Amer. Math. Soc. , vol.14 , pp. 289-297
    • Smale, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.