[1] Glasner E, Weiss B. Sensitive dependence on initial conditions. Nonlinearity, 1993, 6: 1067–1075
[2] Xiong J. Chaos in topological transitive systems. Science in China Series A, 2005, 48: 929–939
[3] Shao S, Ye X, Zhang R. Sensitivity and regionally proximal relation in minimal systems. Science in China
Series A, 2008, 51: 987–994
[4] Ye X, Zhang R. On sensitive sets in topological dynamics. Nonlinearity, 2008, 21: 1601–1620
[5] 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. Berlin: de Gruyter, 1996:
25–40
[6] Huang W, Ye X. An Explicit scattering, non-weakly mixing example and weak disjointness. Nonlinearity,
2002, 15: 825–846
[7] Moothathu T K S. Stronger forms of sensitivity for dynamical systems. Nonlinearity, 2007, 20: 2115–2126
[8] Akin E. Recurrence in Topological Dynamics: Furstenberg and Ellis actions. New York: Plenum Press,
1997
[9] Birkho? G. Proof of the ergodic theorem. Proc Nat Acad Sci USA, 1931, 17: 656–660
[10] Ye X, Huang W, Shao S. An Introduction to Topological Dynamical Systems. Beijing: Science Press, 2008
[11] Akin E, Glasner E. Residual properties and almost equicontinuity. J D’Analyse Math, 2001, 84: 243–286
[12] Blanchard F, Huang W, Snoha L. Topological size of scrambled sets. Colloq Math, 2008, 110: 293–361
[13] Xiong J, L¨u J, Tan F. Furstenberg family and chaos. Science in China Series A, 2007, 50: 1325–1333
[14] Mycielski J. Independent sets in topological algebras. Fund Math, 1964, 55: 139–147
[15] Shao S. Proximity and distality via Furstenberg families. Topol Appl, 2006, 153: 2055–2072
[16] He W, Zhou Z. A topologically mixing system with its measure center being a singleton. Acta Math Sinica,
2002, 45(5): 929–934
[17] Blanchard F, Glasner E, Kolyada S, Maass A. On Li-Yorke pairs. J Reine Angew Math, 2002, 547: 51–68
[18] Kato H. Chaos of continuum-wise expansive homeomorphisms and dynamical properties of sensitive maps
of graphs. Paci J Math, 1996, 175(1): 93–116 |