模糊动力系统中的混沌行为:“模糊三次映射”

Jac-Kal Uk, K. Hoon
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摘要

本文的目的是证明模糊动力系统如何表现出与一类非线性系统相似的混沌现象和混沌动力学。我们发现三次映射的模糊混沌动力学模型具有相同的分岔图,并且具有稳定的平衡点、周期加倍和混沌吸引子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Chaotic behaviors in fuzzy dynamic systems: "fuzzy cubic map"
The objective of this paper is to demonstrate how fuzzy dynamic systems can show chaotic phenomena and chaotic dynamics similar to those found in a class of nonlinear systems. We found that the fuzzy chaotic dynamic model of a cubic map results in the same bifurcation diagrams, and that it shows stable equilibrium points, period-doubling and chaotic attractors.
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