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Volumn 16, Issue 4, 2006, Pages 871-882

Transversality properties and C1-open sets of diffeomorphisms with weak shadowing

Author keywords

Axiom A; No cycle condition; Shadowing property; Transversality condition; Weak shadowing property

Indexed keywords


EID: 33846128809     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0000539586 scopus 로고
    • Approximate and real trajectories for generic dynamical systems
    • Corless, R. M. and Pilyugin, S. Yu., Approximate and real trajectories for generic dynamical systems, J. Math. Anal. Appl. 189 (1995), 409-423.
    • (1995) J. Math. Anal. Appl , vol.189 , pp. 409-423
    • Corless, R.M.1    Pilyugin, S.Y.2
  • 2
    • 0003359822 scopus 로고    scopus 로고
    • Shadowing in Dynamical Systems
    • Springer
    • Pilyugin, S. Yu., "Shadowing in Dynamical Systems," Lecture Notes in Math. 1706, Springer, 1999.
    • (1999) Lecture Notes in Math , vol.1706
    • Pilyugin, S.Y.1
  • 4
    • 84972557768 scopus 로고
    • Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
    • Sakai, K., 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
  • 6
    • 0002072332 scopus 로고    scopus 로고
    • Diffeomorphisms with weak shadowing
    • Sakai, K., Diffeomorphisms with weak shadowing, Fund. Math. 168 (2001), 57-75.
    • (2001) Fund. Math , vol.168 , pp. 57-75
    • Sakai, K.1
  • 7
    • 49349128830 scopus 로고
    • Contributions to stability conjecture
    • Mañé, R., Contributions to stability conjecture, Topology 17 (1978), 383-396.
    • (1978) Topology , vol.17 , pp. 383-396
    • Mañé, R.1
  • 8
    • 33846131768 scopus 로고    scopus 로고
    • A note on weak shadowing, Far East J
    • Sakai, K., A note on weak shadowing, Far East J. Dynamical Sys. 3 (2001), 45-49.
    • (2001) Dynamical Sys , vol.3 , pp. 45-49
    • Sakai, K.1
  • 9
    • 0034165529 scopus 로고    scopus 로고
    • Pas de "shadowing lemma" pour les dynamiques partiellement hyperboliques
    • Bonatti, Ch., Diaz, L. J. and Turcat, G., Pas de "shadowing lemma" pour les dynamiques partiellement hyperboliques, C. R. Acad. Sci. Paris Ser. I Math. 330 (2000), 587-592.
    • (2000) C. R. Acad. Sci. Paris Ser. I Math , vol.330 , pp. 587-592
    • Bonatti, C.1    Diaz, L.J.2    Turcat, G.3
  • 11
    • 22844453875 scopus 로고    scopus 로고
    • An open set of maps for which every point is absolutely nonshadowable
    • Yuan, G.-C. and Yorke, J. A.,An open set of maps for which every point is absolutely nonshadowable, Proc. Amer. Math. Soc. 128 (2000), 909-918.
    • (2000) Proc. Amer. Math. Soc , vol.128 , pp. 909-918
    • Yuan, G.-C.1    Yorke, J.A.2
  • 12
    • 0012910967 scopus 로고
    • Shadowing property and transversality condition
    • World Scientific
    • Sakai, K., Shadowing property and transversality condition, in: "Dynamical Systems and Chaos" 1, World Scientific (1995), 233-238.
    • (1995) Dynamical Systems and Chaos , vol.1 , pp. 233-238
    • Sakai, K.1
  • 14
    • 33846137149 scopus 로고    scopus 로고
    • Weak shadowing in Ω-stable diffeomorphisms
    • St. Petersburg
    • Tarakanov, O. A., Weak shadowing in Ω-stable diffeomorphisms, Electr. J. Differ, Equat. Control Proc., St. Petersburg, Issue 1 (2005), 89-99.
    • (2005) Electr. J. Differ, Equat. Control Proc , Issue.1 , pp. 89-99
    • Tarakanov, O.A.1
  • 15
    • 15944393739 scopus 로고
    • Hyperbolic Birkhoff centers
    • Malta, I. P., Hyperbolic Birkhoff centers, Trans. Amer. Math. Soc. 262 (1980), 181-193.
    • (1980) Trans. Amer. Math. Soc , vol.262 , pp. 181-193
    • Malta, I.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.