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Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System

机译:新的4D Lorenz型超声系统的动态分析与电路实现

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摘要

This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics. In particular, the equilibrium points of the system along with solution’s continuous dependence on initial conditions are examined. Then, a detailed Z2 symmetrical Bogdanov-Takens bifurcation analysis of the hyperchaotic system is performed. Also, the possible first integrals and global invariant surfaces which exist in system’s phase space are analytically found. Theoretical results reveal the rich dynamics and the complexity of system behavior. Finally, numerical simulations and a proposed circuit implementation of the hyperchaotic system are provided to validate the present analytical study of the system.
机译:本文试图进一步扩展到最近4D洛伦茨型超混沌系统的动态分析结果,同时探索新​​的分析结果涉及其本地和全球动态。特别地,检查了系统的平衡点以及解决方案的连续依赖性对初始条件的依赖性。然后,进行详细的Z2对称Bogdanov-Takens的超色度系统的分岔分析。此外,分析系统在系统的相位空间中存在的可能的第一积分和全局不变表面。理论结果揭示了丰富的动态和系统行为的复杂性。最后,提供了数值模拟和提出的超声系统的实现,以验证系统的本分析研究。

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