Distributional chaos for triangular maps

Marta Babilonová

Published: 1999-09-30

Vol. 13 (1999)

Distributional chaos for triangular maps

Marta Babilonová

Abstract

In this paper we show that triangular maps of the unit square can have properties that are impossible in the one-dimensional case. In particular, we find a map with infinite spectrum; a distributionally chaotic map whose principal measure of chaos is not generated by a pair of points and which has the empty spectrum; a distributionally chaotic map that is not chaotic in the sense of Li and Yorke.

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Babilonová, M. (1999). Distributional chaos for triangular maps. Annales Mathematicae Silesianae, 13, 33–38. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14134

References

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Vol. 13 (1999)
Published: 1999-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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