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Volumn 117, Issue 3, 2002, Pages 259-272

Devaney's chaos or 2-scattering implies Li-Yorke's chaos

Author keywords

Devaney's chaos; Li Yorke's chaos; Proximal and asymptotic relation; Scattering; Scrambled set

Indexed keywords


EID: 0005525599     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-8641(01)00025-6     Document Type: Article
Times cited : (276)

References (17)
  • 2
    • 0003236130 scopus 로고
    • Minimal Flows and Their Extensions
    • Amsterdam: North-Holland
    • Auslander J. Minimal Flows and Their Extensions North-Holland Math. Stud. 153 1988 North-Holland Amsterdam
    • (1988) North-Holland Math. Stud. , vol.153
    • Auslander, J.1
  • 3
    • 25944443019 scopus 로고    scopus 로고
    • Residual properties and almost equicontinuity
    • Preprint
    • E. Akin, J. Auslander, E. Glasner, Residual properties and almost equicontinuity, Preprint, 1999
    • (1999)
    • Akin, E.1    Auslander, J.2    Glasner, E.3
  • 4
    • 0038534484 scopus 로고    scopus 로고
    • When is a transitive map chaotic?
    • (Columbus, OH, 1993) Ohio State Univ. Math. Res. Inst. Publ. de Gruyter Berlin
    • Akin E. Auslander J. Berg K. When is a transitive map chaotic? Convergence in Ergodic Theory and Probability (Columbus, OH, 1993) Ohio State Univ. Math. Res. Inst. Publ. 5 1996 de Gruyter Berlin
    • (1996) Convergence in Ergodic Theory and Probability , vol.5
    • Akin, E.1    Auslander, J.2    Berg, K.3
  • 5
    • 84972499965 scopus 로고
    • Interval maps, factors of maps and chaos
    • Auslander J. Yorke J.A. Interval maps, factors of maps and chaos Tohoku Math. J. 32 1980 177-188
    • (1980) Tohoku Math. J. , vol.32 , pp. 177-188
    • Auslander, J.1    Yorke, J.A.2
  • 7
    • 0037583062 scopus 로고    scopus 로고
    • Asymptotic pairs in positive-entropy systems
    • Preprint
    • F. Blanchard, B. Host, S. Ruette, Asymptotic pairs in positive-entropy systems, Preprint, 2000
    • (2000)
    • Blanchard, F.1    Host, B.2    Ruette, S.3
  • 12
    • 0031479951 scopus 로고    scopus 로고
    • A simple characterization of the set of μ-entropy pairs and applications
    • Glasner E. A simple characterization of the set of μ-entropy pairs and applications Israel J. Math. 102 1997 13-27
    • (1997) Israel J. Math. , vol.102 , pp. 13-27
    • Glasner, E.1
  • 13
    • 0035644209 scopus 로고    scopus 로고
    • Homeomorphisms with the whole compacta being scrambled sets
    • To appear
    • W. Huang, X. Ye, Homeomorphisms with the whole compacta being scrambled sets, in: Ergodic Theory Dynamical Systems, to appear
    • Ergodic Theory Dynamical Systems
    • Huang, W.1    Ye, X.2
  • 14
    • 0001138434 scopus 로고
    • Sensitive dependence on initial conditions
    • Glasner E. Weiss B. Sensitive dependence on initial conditions Nonlinearity 6 1993 1067-1075
    • (1993) Nonlinearity , vol.6 , pp. 1067-1075
    • Glasner, E.1    Weiss, B.2
  • 15
    • 0005557460 scopus 로고
    • Independent sets of transitive points
    • Banach Center Publ. Warsaw: PWN
    • Iwanik A. Independent sets of transitive points Dynam. Sys. and Ergod. Th. Banach Center Publ. 23 1989 277-282 PWN Warsaw
    • (1989) Dynam. Sys. and Ergod. Th. , vol.23 , pp. 277-282
    • Iwanik, A.1
  • 16
  • 17
    • 0040290800 scopus 로고    scopus 로고
    • Chaos caused by a topologically mixing map
    • J.Xiong, Z. Yang, Chaos caused by a topologically mixing map, in: World Sci. Adv. Ser. Dyn. Syst., Vol. 9, pp. 550-572
    • World Sci. Adv. Ser. Dyn. Syst. , vol.9 , pp. 550-572
    • Xiong, J.1    Yang, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.