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Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadraticautonomous system

机译:由新的3-D二次自治系统生成的网格多翼蝴蝶混沌吸引子

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Due to the dynamic characteristics of the Lorenz system, multi-wing chaotic systems are still confined in the positive half-space and fail to break the threshold limit. In this paper, a new approach for generating complex grid multi-wing attractors that can break the threshold limit via a novel nonlinear modulating function is proposed from the firstly proposed double-wing chaotic system. The proposed method is different from that of classical multi-scroll chaotic attractors generated by odd-symmetric multi-segment linear functions from Chua system. The new system is autonomous and can generate various grid multi-wing butterfly chaotic attractors without requiring any external forcing, it also can produce grid multi-wing both on the xz-plane and yz-plane. Basic properties of the new system such as dissipation property, equilibrium, stability, the Lyapunov exponent spectrum and bifurcation diagram are introduced by numerical simulation, theoretical analysis and circuit experiment, which confirm that the multi-wing attractors chaotic system has more rich and complicated chaotic dynamics. Finally, a novel module-based unified circuit is designed which provides some principles and guidelines for future circuitry design and engineering application. The circuit experimental results are consistent with the numerical simulation results.
机译:由于洛伦兹系统的动力学特性,多翼混沌系统仍被限制在正半空间内,无法突破阈值极限。本文从首次提出的双翼混沌系统出发,提出了一种通过新颖的非线性调制函数产生可以突破阈值极限的复杂网格多翼吸引子的新方法。所提出的方法不同于由Chua系统通过奇对称多段线性函数生成的经典多滚动混沌吸引子。新系统是自主的,可以在不需要任何外部强迫的情况下产生各种网格多翼蝴蝶混沌吸引器,它还可以在xz平面和yz平面上产生网格多翼。通过数值模拟,理论分析和电路实验,介绍了新系统的基本特性,如耗散性,平衡性,稳定性,李雅普诺夫指数谱和分叉图等,证实了多翼吸引子混沌系统具有更丰富,更复杂的混沌特性。动力学。最后,设计了一种新颖的基于模块的统一电路,该电路为将来的电路设计和工程应用提供了一些原理和指导。电路实验结果与数值模拟结果一致。

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