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Simple megastable oscillators with different types of attractors; tori, chaotic and hyperchaotic ones
The European Physical Journal Special Topics ( IF 2.6 ) Pub Date : 2020-03-26 , DOI: 10.1140/epjst/e2020-900240-1
Biqun Chen , Karthikeyan Rajagopal , Ibrahim Ismael Hamarash , Anitha Karthikeyan , Iqtadar Hussain

Coexistence of attractors with different or same type, multistability, is a complex behavior in nonlinear systems. This feature makes these systems applicable but difficult to control. Besides multistability, some new systems show megastability, existence of infinite number of coexisting attractors. In this paper, two simple megastable systems are presented in details. Moreover, these systems show hyperchaotic behavior which is rare in these types of systems as previously proposed systems mostly show chaos and periodic responses. To show the properties of these systems, nonlinear analytical tools are used in this article.

中文翻译:

具有不同类型吸引子的简单兆稳态振荡器;花托,混沌和超混沌的

具有不同或相同类型,多重稳定性的吸引子并存是非线性系统中的复杂行为。此功能使这些系统适用,但难以控制。除多重稳定性外,一些新系统还具有巨大的稳定性,存在无限数量的共存吸引子。在本文中,详细介绍了两个简单的巨稳定系统。而且,这些系统表现出超混沌行为,这在这些类型的系统中是罕见的,因为先前提出的系统大多表现出混沌和周期性响应。为了显示这些系统的特性,本文使用了非线性分析工具。
更新日期:2020-03-26
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