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A class of unexcited hyperjerk systems with megastability and its analog and microcontroller-based embedded system design

机译:一类具有巨大的巨型性和基于微控制和基于微控制器的嵌入式系统设计的无意识的超速系统

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摘要

Discovering chaotic systems with special features is of interest in the recent years. In this paper we introduce a new class of simple hyperjerk systems with infinitely coexisting chaotic attractors usually termed as megastability. The novelty of the proposed systems is that the systems shows megastability without external excitation which was not the case in most of the existing megastable attractors discussed in the literatures. Various dynamical properties of one of the proposed systems like the stability of equilibrium points, bifurcation and Lyapunov spectrum are discussed. Also, a circuit realization using off-the-shelf components is shown to prove the implementation feasibility of the systems. In addition, microcontroller based embedded design with graphic LCD of obtained new simple hyperjerk megastable oscillators was realized. Thus, the obtained new oscillators can be used both in a variety of real digital applications such as random number generators, encryption, communication and for educational purposes.
机译:近年来发现具有特殊功能的混沌系统。在本文中,我们介绍了一类具有无限共存混沌吸引子的新阶级简单的超级高速公路系统,通常被称为巨大的兆。拟议系统的新颖性是该系统在没有外部激励的情况下显示了巨大的能力,这些系统不是在文献中讨论的大多数现有的兆可吸引器中的情况。讨论了一种如稳定性的稳定性点,分叉和Lyapunov光谱的稳定性之一的各种动态特性。此外,示出了使用现成部件的电路实现,以证明系统的实现可行性。此外,实现了基于微控制器的嵌入式设计,具有Graphic LCD的获得新的简单高速高巨型振荡器的图形LCD。因此,所获得的新振荡器可以在各种真实数字应用中使用,例如随机数发生器,加密,通信和教育目的。

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