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On topological sequence entropy of piecewise monotonic mappings

Published online by Cambridge University Press:  17 April 2009

Jose S. Cánovas
Jose S. Cánovas
Affiliation:
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Paseo de Alfonso XIII, 30203 Cartagena (Murcia), Spain e-mail: canovas@plc.um.es
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Abstract

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In this paper a full classification of piecewise monotonic maps from the point of view of the topological sequence entropy is established.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 21 - 28
Copyright
Copyright © Australian Mathematical Society 2000

References

[1]Adler, R.L., Konheim, A.G. and McAndrew, M.H., ‘Topological entropy’, Trans. Amer. Math. Soc. 114 (1965), 309–319.CrossRefGoogle Scholar
[2]Balibrea, F., Cánovas, J. and López, V.Jiménez, ‘Commutativity and non-commutativity of the topological sequence entropy’, Ann. Inst. Fourier (Grenoble) (to appear).Google Scholar
[3]Franzová, N. and Smítal, J., ‘Positive sequence topological entropy characterizes chaotic maps’, Proc. Amer. Math. Soc. 112 (1991), 1083–1086.CrossRefGoogle Scholar
[4]Goodman, T.N.T., ‘Topological sequence entropy’, Proc. London Math. Soc. 29 (1974), 331–350.CrossRefGoogle Scholar
[5]Hric, R., ‘Topological sequence entropy for maps of the interval’, Proc. Amer. Math. Soc. (to appear).Google Scholar
[6]Sharkovsky, A.N., Kolyada, S.F., Sivak, A.G. and Fedorenko, V.V., Dynamics of one-dimensional maps, Mathematics and its applications 407 (Kluwer Academic Publishers, Dordrecht, 1997).Google Scholar
[7]Smital, J., ‘Chaotic functions with zero topological entropy’, Trans. Amer. Math. Soc. 297 (1986), 269–282.CrossRefGoogle Scholar