Intermittency of Chaos Functions and the Belousov-Zhabotinsky Reaction

被引：0
|
作者：
Kawamoto, Shunji [1 ]
机构：
[1] Osaka Prefecture Univ, Sakai, Osaka, Japan
来源：
12TH CHAOTIC MODELING AND SIMULATION INTERNATIONAL CONFERENCE | 2020年
关键词：
Intermittency; Chaos function; 2-D solvable chaos map; Belousov-Zhabotinsky reaction; Bifurcation diagram; Limit cycle; Pattern formation; Non-equilibrium open system; PROPAGATION; SPECTRUM;
D O I：
10.1007/978-3-030-39515-5_11
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Intermittent time series generated by the one-dimensional (1-D) solvable chaos map consisting of time-dependent chaos functions are firstly presented, without the accumulation of round-off error caused by numerical iterations. Then, the 1-D map is applied for deriving a 2-D solvable chaos map corresponding to the Belousov-Zhabotinsky (BZ) reaction, which is known to have chemical waves in time. Finally, discrete limit cycles with chaotic dynamics and the pattern formation depending on the system parameter are obtained numerically by considering the bifurcation diagram, and are discussed on the basis of the numerical result for chemical cells of the BZ reaction, as one of non-equilibrium open systems.
引用
收藏
页码：123 / 134
页数：12
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