具有弱平均收缩条件的迭代函数系统

IF 0.4 Q4 MATHEMATICS Journal of Dynamical Systems and Geometric Theories Pub Date : 2019-07-03 DOI:10.1080/1726037X.2019.1651492

A. Ehsani, F. Ghane

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引用次数: 2

摘要

摘要本文研究随机迭代函数系统的混沌对策问题。考虑了一个随机迭代函数系统IFS()，该系统是由一个有限族的Lipschitz映射在一个具有弱平均收缩条件的紧球上生成的，并证明了它存在一个满足确定性混沌对策的拟吸引子。特别是，这些性质在迭代函数系统IFS()相对于Lipschitz拓扑的小扰动下保持不变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Iterated Function Systems with the Weak Average Contraction Conditions

Abstract This paper concerns the chaos game of random iterated function systems. We consider a random iterated function system IFS() generated by a finite family of Lipschitz maps on a compact ball of ℝn with the weak average contraction condition and show that it admits a quasi-attractor satisfying the deterministic chaos game. In particular, these properties are preserved under small perturbations of the iterated function system IFS() with respect to the Lipschitz topology.

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Journal of Dynamical Systems and Geometric Theories MATHEMATICS-

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