On measures of chaos for distributionally chaotic maps.

Katarína Janková

doi:rae/1184700047

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Home > Journals > Real Anal. Exchange > Volume 32 > Issue 1 > Article

2006/2007 On measures of chaos for distributionally chaotic maps.

Katarína Janková

Author Affiliations +

Katarína Janková¹
¹Department of Applied Mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia

Real Anal. Exchange 32(1): 213-220 (2006/2007).

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Abstract

Let $f$ be a distributionally chaotic map of the interval such that the endpoints of the minimal periodic portions of any basic set are periodic. Then the principal measure of chaos, $\mu _p(f)$, is not greater than twice the spectral measure of chaos $\mu _s(f)$. This proves an assertion of Schweizer et al. in a special case.