一种新的轴形平衡混沌系统及其电路实现和自适应同步

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/ACS.2018.124711

S. Vaidyanathan, A. Sambas, M. Mamat

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引用次数: 17

摘要

近年来，具有不可数平衡点的混沌系统如具有线平衡和曲线平衡的混沌系统得到了较好的研究。本文报道了一种新的具有轴形平衡点曲线的三维混沌系统。利用相图、分岔图、李雅普诺夫指数和李雅普诺夫维数研究了具有轴形平衡的混沌系统的动力学。此外，还设计了一个具有轴形平衡的混沌系统的电子电路来验证其可行性。作为控制应用，我们报告了具有轴形平衡点曲线的新系统的同步结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A new chaotic system with axe-shaped equilibrium, its circuit implementation and adaptive synchronization

In the recent years, chaotic systems with uncountable equilibrium points such as chaotic systems with line equilibrium and curve equilibrium have been studied well in the literature. This reports a new 3-D chaotic system with an axe-shaped curve of equilibrium points. Dynamics of the chaotic system with the axe-shaped equilibrium has been studied by using phase plots, bifurcation diagram, Lyapunov exponents and Lyapunov dimension. Furthermore, an electronic circuit implementation of the new chaotic system with axe-shaped equilibrium has been designed to check its feasibility. As a control application, we report results for the synchronization of the new system possessing an axe-shaped curve of equilibrium points.

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来源期刊

Archives of Control Sciences Mathematics-Modeling and Simulation

CiteScore

2.40

自引率

33.30%

发文量

审稿时长

14 weeks

期刊介绍： Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.