一种新的多稳定共存吸引子直流偏置可升压混沌系统及其自适应同步

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Scientia Iranica Pub Date : 2023-10-04 DOI:10.24200/sci.2023.62359.7794

Rameshbabu Ramar, Sundarapandian Vaidyanathan

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引用次数: 0

摘要

本文报道了一种新的三正弦非线性混沌系统。利用平衡点、稳定性和李雅普诺夫指数分析了新混沌系统的基本行为。新系统具有可数无限个平衡点，这是该系统的新特征。新系统具有多个有趣的特征，如拓扑不同的吸引子、共存的吸引子、偏移增强吸引子和极性反转偏移增强吸引子。利用经典工具如分岔图、李雅普诺夫指数图和吸引子图对这些特征进行了分析和验证。分岔分析和仿真结果表明，该系统具有丰富的混沌动力学特性。此外，采用非线性反馈控制方法实现了系统的自适应控制和同步。用MATLAB图形说明了对具有三个正弦非线性的混沌系统的控制结果

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 DC Offset Boostable Chaotic System with Multistability, Coexisting Attractors and Its Adaptive Synchronization

In this paper, a new chaotic system with three sinusoidal nonlinearitiesis reported. The basic behavior of the new chaotic system is analyzed bymeans of equilibrium points, stability and Lyapunov exponents. The newsystem has countably infinite number of equilibrium points, which is anovel feature of the system. The new system has multiple interestingfeatures such as topologically different attractors, coexisting attractors,offset boosted attractors and polarity reversed offset boosting attractors.These special features are analyzed and verified using classical tools suchas bifurcation diagrams, Lyapunov exponent plots and attractor diagrams.The bifurcation analysis and simulation results show that the proposedsystem has rich chaotic dynamics. Furthermore, the adaptive control andsynchronization of the new system are achieved using nonlinear feedbackcontrol methodology. MATLAB plots are shown to illustrate the controlresults for the new chaotic system with three sinusoidal nonlinearities

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来源期刊

Scientia Iranica 工程技术-工程：综合

CiteScore

2.90

自引率

7.10%

发文量

审稿时长

2 months

期刊介绍： The objectives of Scientia Iranica are two-fold. The first is to provide a forum for the presentation of original works by scientists and engineers from around the world. The second is to open an effective channel to enhance the level of communication between scientists and engineers and the exchange of state-of-the-art research and ideas. The scope of the journal is broad and multidisciplinary in technical sciences and engineering. It encompasses theoretical and experimental research. Specific areas include but not limited to chemistry, chemical engineering, civil engineering, control and computer engineering, electrical engineering, material, manufacturing and industrial management, mathematics, mechanical engineering, nuclear engineering, petroleum engineering, physics, nanotechnology.