运动抽动系统的分岔分析及电子电路

R. A. Miptahudin
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摘要

本文提出了基于二次函数的Sprott - jerk系统。通过平衡分析、相画像、分岔图和李亚普诺夫指数揭示了该体系的动力学特性。Sprott系统表现出混沌吸引子,具有复杂的动力学行为。最后,通过电路实现对该系统进行了验证。MATLAB和MultiSIM仿真结果的对比验证了该系统的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bifurcation Analysis and Electronic Circuit for Sprott Jerk System
In this paper, the Sprott jerk system based quadratic function is presented. The dynamics of this system is revealed through equilibrium analysis, phase portrait, bifurcation diagram and Lyapunov exponents. The Sprott system can exhibit a chaotic attractor, which has complex dynamic behavior. Finally, the circuit implementation is carried out to verify the Sprott Jerk system.  The comparison between the MATLAB and MultiSIM simulation results demonstrate the effectiveness of the Sprott system.
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