Commutativity and non-commutativity of topological sequence entropy
Francisco Balibrea; Jose Salvador Cánovas Peña; Víctor Jiménez López
Annales de l'institut Fourier (1999)
- Volume: 49, Issue: 5, page 1693-1709
- ISSN: 0373-0956
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top- [1] R. L. ADLER, A. G. KONHEIM and M. H. McANDREW, Topological entropy, Trans. Amer. Math. Soc., 114 (1965), 309-319. Zbl0127.13102MR30 #5291
- [2] F. BALIBREA, J. S. CÁNOVAS PEÑA and V. JIMÉNEZ LÓPEZ, Some results on entropy and sequence entropy, Internat. J. Bifur. Chaos Appl. Sci. Engrg. (to appear). Zbl0942.28017
- [3] F. BALIBREA, J. S. CÁNOVAS PEÑA and V. JIMÉNEZ LÓPEZ, Topological sequence entropy on the nonwandering set can be less than on the whole space: an interval counterexample, preprint.
- [4] R. A. DANA and L. MONTRUCCHIO, Dynamic complexity in duopoly games, J. Econom. Theory, 44 (1986), 40-56. Zbl0617.90104MR87k:90045
- [5] N. FRANZOVÁ and J. SMITAL, Positive sequence topological entropy characterizes chaotic maps, Proc. Amer. Math. Soc., 112 (1991), 1083-1086. Zbl0735.26005MR91j:58107
- [6] T. N. T. GOODMAN, Topological sequence entropy, Proc. London Math. Soc., 29 (1974), 331-350. Zbl0293.54043MR50 #8482
- [7] W. H. GOTTSCHALK and G. A. HEDLUNG, Topological Dynamics, Amer. Math. Soc., 1955. Zbl0067.15204
- [8] V. JIMÉNEZ LÓPEZ, An explicit description of all scrambled sets of weakly unimodal functions of type 2∞, Real. Anal. Exch., 21 (1995/1996), 1-26. Zbl0879.58044MR97g:58109
- [9] S. KOLYADA and L'. SNOHA, Topological entropy of nonautononous dynamical systems, Random and Comp. Dynamics, 4 (1996), 205-233. Zbl0909.54012MR98f:58126
- [10] A. LINERO, Cuestiones sobre dinámica topológica de algunos sistemas bidimensionales y medidas invariantes de sistemas unidimensionales asociados, PhD thesis, Universidad de Murcia, 1998.
- [11] M. MISIUREWICZ and J. SMITAL, Smooth chaotic functions with zero topological entropy, Ergod. Th. and Dynam. Sys., 8 (1988), 421-424. Zbl0689.58028MR90a:58118
- [12] W. SZLENK, On weakly* conditionally compact dynamical systems, Studia Math., 66 (1979), 25-32. Zbl0497.54039MR81a:54043
- [13] P. WALTERS, An introduction to ergodic theory, Springer-Verlag, Berlin, 1982. Zbl0475.28009MR84e:28017