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Volumn 16, Issue 3, 2006, Pages

Relations between distributional and Devaney chaos

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EID: 33749315582     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2225513     Document Type: Article
Times cited : (30)

References (33)
  • 1
    • 0000100336 scopus 로고
    • Period three implies chaos
    • T. Y. Li and J. A. Yorke, "Period three implies chaos," Am. Math. Monthly 82, 985-992 (1975).
    • (1975) Am. Math. Monthly , vol.82 , pp. 985-992
    • Li, T.Y.1    Yorke, J.A.2
  • 2
    • 84995342382 scopus 로고    scopus 로고
    • Various notions of chaos, recent results, open problems
    • J. Smítal, "Various notions of chaos, recent results, open problems," Real. Anal. Exchange 26, 81-86 (2002).
    • (2002) Real. Anal. Exchange , vol.26 , pp. 81-86
    • Smítal, J.1
  • 3
    • 24944538414 scopus 로고    scopus 로고
    • Various notions of chaos for discrete dynamical systems
    • G. L. Forti, "Various notions of chaos for discrete dynamical systems," Aequ. Math. 70, 1-13 (2005).
    • (2005) Aequ. Math. , vol.70 , pp. 1-13
    • Forti, G.L.1
  • 4
    • 27644580002 scopus 로고    scopus 로고
    • Relations between distributional, Li-Yorke and ω chaos
    • J. L. G. Guirao and M. Lempart, "Relations between distributional, Li-Yorke and ω chaos," Chaos, Solitons Fractals 28, 788-792 (2006).
    • (2006) Chaos, Solitons Fractals , vol.28 , pp. 788-792
    • Guirao, J.L.G.1    Lempart, M.2
  • 5
    • 24044448591 scopus 로고    scopus 로고
    • Li-Yorke sensitivity and other concepts of chaos
    • S. F. Kolyada, "Li-Yorke sensitivity and other concepts of chaos," Ukr. Math. J. 56, 1242-1257 (2004).
    • (2004) Ukr. Math. J. , vol.56 , pp. 1242-1257
    • Kolyada, S.F.1
  • 6
    • 84966254575 scopus 로고
    • Measure of chaos and a spectral decomposition of dynamical systems of interval
    • B. Schweizer and J. Smítal, "Measure of chaos and a spectral decomposition of dynamical systems of interval," Trans. Am. Math. Soc. 344, 737-754 (1994).
    • (1994) Trans. Am. Math. Soc. , vol.344 , pp. 737-754
    • Schweizer, B.1    Smítal, J.2
  • 10
    • 0007451878 scopus 로고    scopus 로고
    • Some aspects of topological transitivity - A survey
    • S. F. Kolyada and L. Snoha, "Some aspects of topological transitivity - a survey," Grazer Math. Ber. 334, 3-35 (1997).
    • (1997) Grazer Math. Ber. , vol.334 , pp. 3-35
    • Kolyada, S.F.1    Snoha, L.2
  • 11
    • 0039646601 scopus 로고    scopus 로고
    • Regular periodic decompositions for topologically transitive maps
    • J. Banks, "Regular periodic decompositions for topologically transitive maps," Ergod. Theory Dyn. Syst. 17, 505-529 (1997).
    • (1997) Ergod. Theory Dyn. Syst. , vol.17 , pp. 505-529
    • Banks, J.1
  • 12
    • 33749362023 scopus 로고
    • Topological dynamics of transformations induced on the space of probability measures
    • W. Bauer and K. Sigmund, "Topological dynamics of transformations induced on the space of probability measures," Monatsh. Math. 431, 81-92 (1975).
    • (1975) Monatsh. Math. , vol.431 , pp. 81-92
    • Bauer, W.1    Sigmund, K.2
  • 13
    • 84968503802 scopus 로고
    • ω-chaos and topological entropy
    • S. Li, "ω-chaos and topological entropy," Trans. Am. Math. Soc. 339, 243-249 (1993).
    • (1993) Trans. Am. Math. Soc. , vol.339 , pp. 243-249
    • Li, S.1
  • 16
    • 0003294438 scopus 로고
    • An introduction to ergodic theory
    • Springer-Verlag, New York
    • P. Walters, An Introduction to Ergodic Theory, Graduate Texts in Mathematics (Springer-Verlag, New York, 1982), Vol. 79.
    • (1982) Graduate Texts in Mathematics , vol.79
    • Walters, P.1
  • 20
    • 0005525599 scopus 로고    scopus 로고
    • Devaney's chaos or 2-scattering implies Li-Yorke chaos
    • W. Huang and X. Ye, "Devaney's chaos or 2-scattering implies Li-Yorke chaos," Top. Appl. Phys. 117, 259-272 (2002).
    • (2002) Top. Appl. Phys. , vol.117 , pp. 259-272
    • Huang, W.1    Ye, X.2
  • 21
    • 0242277094 scopus 로고    scopus 로고
    • Li-Yorke sensitivity
    • E. Akin and S. F. Kolyada, "Li-Yorke sensitivity," Nonlinearity 16, 1421-1433 (2003).
    • (2003) Nonlinearity , vol.16 , pp. 1421-1433
    • Akin, E.1    Kolyada, S.F.2
  • 23
    • 13444257255 scopus 로고    scopus 로고
    • Two kinds of chaos and relations between them
    • M. Lempart, "Two kinds of chaos and relations between them," Acta Math. Univ. Comen. 72, 119-127 (2003).
    • (2003) Acta Math. Univ. Comen. , vol.72 , pp. 119-127
    • Lempart, M.1
  • 24
    • 0038817819 scopus 로고    scopus 로고
    • A chaotic, non-mixing subshift
    • A. Crannell, "A chaotic, non-mixing subshift," Discrete Contin. Dyn. Syst. 43, 195-202 (1998).
    • (1998) Discrete Contin. Dyn. Syst. , vol.43 , pp. 195-202
    • Crannell, A.1
  • 25
    • 17444433508 scopus 로고    scopus 로고
    • Stroboscopical property in topological dynamics
    • V. J. López and L. Snoha, "Stroboscopical property in topological dynamics," Discrete Contin. Dyn. Syst. 129, 301-316 (2003).
    • (2003) Discrete Contin. Dyn. Syst. , vol.129 , pp. 301-316
    • López, V.J.1    Snoha, L.2
  • 26
    • 0002384599 scopus 로고    scopus 로고
    • Dynamics of homeomorphisms on minimal sets generated by triangular mappings
    • G. L. Forti, L. Paganoni, and J. Smítal, "Dynamics of homeomorphisms on minimal sets generated by triangular mappings," Bull. Aust. Math. Soc. 59, 1-20 (1999).
    • (1999) Bull. Aust. Math. Soc. , vol.59 , pp. 1-20
    • Forti, G.L.1    Paganoni, L.2    Smítal, J.3
  • 27
    • 84968503501 scopus 로고
    • On the entropy of uniquely ergodic transformations
    • F. Hahn and Y. Katznelson, "On the entropy of uniquely ergodic transformations," Trans. Am. Math. Soc. 126, 335-360 (1967).
    • (1967) Trans. Am. Math. Soc. , vol.126 , pp. 335-360
    • Hahn, F.1    Katznelson, Y.2
  • 28
    • 0002105584 scopus 로고    scopus 로고
    • Minimal subshifts which display Schweizer-Smftal chaos and have zero topological entropy
    • G. Liao and Q. Fan, "Minimal subshifts which display Schweizer-Smftal chaos and have zero topological entropy," Sci. China, Ser. A: Math., Phys., Astron. 41, 33-38 (1998).
    • (1998) Sci. China, Ser. A: Math., Phys., Astron. , vol.41 , pp. 33-38
    • Liao, G.1    Fan, Q.2
  • 29
    • 0141742887 scopus 로고    scopus 로고
    • Regular shift invariant sets and Schweizer-Smítal chaos
    • L. Wang and G. Liao, "Regular shift invariant sets and Schweizer-Smítal chaos," Northeast. Math. J. 15, 127-129 (1999).
    • (1999) Northeast. Math. J. , vol.15 , pp. 127-129
    • Wang, L.1    Liao, G.2
  • 30
  • 31
  • 32
    • 0040796598 scopus 로고
    • Topological transitivity and ergodic measures
    • B. Weiss, "Topological transitivity and ergodic measures," Math. Syst. Theory 5, 71-75 (1971).
    • (1971) Math. Syst. Theory , vol.5 , pp. 71-75
    • Weiss, B.1


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