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A novel grid multiwing chaotic system with only non-hyperbolic equilibria

机译:具有非双曲平衡的新型网格多翼混沌系统

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The structure of the chaotic attractor of a system is mainly determined by the nonlinear functions in system equations. By using a new saw-tooth wave function and a new stair function, a novel complex grid multiwing chaotic system which belongs to non-Shila??nikov chaotic system with non-hyperbolic equilibrium points is proposed in this paper. It is particularly interesting that the complex grid multiwing attractors are generated by increasing the number of non-hyperbolic equilibrium points, which are different from the traditional methods of realising multiwing attractors by adding the index-2 saddle-focus equilibrium points in double-wing chaotic systems. The basic dynamical properties of the new system, such as dissipativity, phase portraits, the stability of the equilibria, the time-domain waveform, power spectrum, bifurcation diagram, Lyapunov exponents, and so on, are investigated by theoretical analysis and numerical simulations. Furthermore, the corresponding electronic circuit is designed and simulated on the Multisim platform. The Multisim simulation results and the hardware experimental results are in good agreement with the numerical simulations of the same system on Matlab platform, which verify thefeasibility of this new grid multiwing chaotic system.
机译:系统的混沌吸引子的结构主要由系统方程中的非线性函数决定。通过使用新的锯齿波函数和新的阶梯函数,提出了一种新的复杂网格多翼混沌系统,该系统属于具有非双曲平衡点的非Shila ?? nikov混沌系统。特别有趣的是,复杂的网格多翼吸引子是通过增加非双曲线平衡点的数量来生成的,这与通过在双翼混沌中添加index-2鞍形焦点平衡点来实现多翼吸引子的传统方法不同。系统。通过理论分析和数值模拟研究了新系统的基本动力学特性,例如耗散性,相图,平衡稳定性,时域波形,功率谱,分叉图,李雅普诺夫指数等。此外,在Multisim平台上设计并仿真了相应的电子电路。 Multisim仿真结果和硬件实验结果与基于Matlab平台的同一系统的数值仿真结果吻合良好,验证了该新型网格多翼混沌系统的可行性。

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