Distributional chaos in constant-length substitution systems

Wang, Hui; Qin-jie, Fan; Liao, Gongfu

doi:10.1016/j.na.2009.09.030

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2014

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“…The [3] proved that double symbol non primitive substitutions without distribution point of chaos. [4] proposed distribution chaos on a sufficient condition for the existence of a class of primitive substitution systems.Chaos in [5] studied a special mapping chaotic control in the construction, it is proved that the mapping is the distribution chaos.…”

Section: Introductionmentioning

confidence: 99%

A Class of Hyperspace Systems and Distributional Chaos

Wang

Zhu

2014

AMM

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Research on dynamical system has penetrated into many problems of agricultural production, such as prediction of corn yield, analysis on operational situation of irrigation district and research on ecological difference equation. In this paper, we investigated dynamical properties for non-primitive substitution and the set-valued maps induced by the substitution. We proved In two cases that the hyperspace systems induced by non-primitive substitution are not distributional chaotic.

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Section: Introductionmentioning

confidence: 99%