Garcia Guirao和Lampart给出了与Belusov-Zhabotinskii反应有关的耦合晶格体系的Kato混沌和p混沌

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY
Risong Li
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引用次数: 0

摘要

在本文中,我们进一步考虑上述系统。特别地,我们给出了在$eta=0$时上述系统是加藤混沌的充分条件和在$eta=0$时上述系统是加藤混沌的必要条件。进一步推导出,对于$eta=0$,如果$Theta$是p -混沌的,则该系统也是p -混沌的,其中从紧度量空间$Z$到自身的连续映射$Theta$如果具有伪轨道跟踪的性质,则称$Theta$是p -混沌的,并且$Theta$的所有周期点集合的闭包是空间$Z$。最后给出了一个算例和三个有待解决的问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction
In this article, we further consider the above system. In particular, we give a sufficient condition under which the above system is Kato chaotic for $eta=0$ and a necessary condition for the above system to be Kato chaotic for $eta=0$. Moreover, it is deduced that for $eta=0$, if $Theta$ is P-chaotic then so is this system, where a continuous map $Theta$ from a compact metric space $Z$ to itself is said to be P-chaotic if it has the pseudo-orbit-tracing property and the closure of the set of all periodic points for $Theta$ is the space $Z$. Also, an example and three open problems are presented.
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来源期刊
Iranian journal of mathematical chemistry
Iranian journal of mathematical chemistry CHEMISTRY, MULTIDISCIPLINARY-
CiteScore
2.10
自引率
7.70%
发文量
0
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