Logistic Mapping with a Time-Dependent System-Parameter and its Attractor Basins with Self-Similar Structure
Logistic Mapping with a Time-Dependent System-Parameter and its Attractor Basins with Self-Similar Structure
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DOI：
10.1142/s0218127404010680
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发表时间：
2004-07
期刊：
影响因子：
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通讯作者：
J. Kuroiwa;T. Miki
中科院分区：
文献类型：
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作者：
J. Kuroiwa;T. Miki
本文提出了含时变系统参数的Logistic映射(简称LMTD)。在各种时间依赖关系的选择中，为了研究LMTD的动力学性质，人们尝试了周期时间依赖关系。在某些参数区域内，依赖于初始值，两个不同的吸引子共存，例如，两个不同的混沌吸引子，两个不同的周期吸引子，或两个周期/混沌吸引子。此外，初始值的整个构形空间形成了结构具有自相似性的吸引点盆地。
In this paper, logistic mapping with a time-dependent system-parameter (referred as "LMTD") is proposed. In various choices of time dependence, the periodic one has been tried in order to investigate the dynamical properties of LMTD. In certain parameter regions, two different attractors coexist depending on the initial values, for instances, two different chaotic attractors, two different periodic attractors, or two periodic/chaotic attractors. In addition, the whole configuration space of the initial values forms basins of attractions of which structures indicate self-similarity.