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On the topological equivalence of some fuzzy flows near hyperbolic equilibria

机译:关于双曲平衡点附近一些模糊流的拓扑等价

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摘要

The purpose of this work is to study fuzzy dynamical systems associated with deterministic systems. The Grobman-Hartman theorem states that, near hyperbolic equilibria, there exists a homeomorphism between the nonlinear system's trajectories and the linearized correspondent system's trajectories. That is, these systems are topologically equivalent. A theorem similar to Grobman-Hartman theorem to fuzzy flows is the main result in this article. For fuzzy flows obtained from each system it states that the nonlinear and the linearized are topologically equivalent.
机译:这项工作的目的是研究与确定性系统相关的模糊动力学系统。 Grobman-Hartman定理指出,在双曲平衡附近,非线性系统的轨迹和线性化的对应系统的轨迹之间存在同胚性。也就是说,这些系统在拓扑上是等效的。本文的主要结果是类似于Grobman-Hartman定理的模糊流定理。对于从每个系统获得的模糊流,它指出非线性和线性化在拓扑上是等效的。

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