一类新型混沌系统的动力学分析及电路设计

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关键词：耗散系统；动态分析；混沌电路；电容一阶状态

中图分类号：TN601 文献标志码：A 文章编号：1003-5168（2025）08-0004-06

DOI：10.19968/j.cnki.hnkj.1003-5168.2025.08.001

Abstract：[Purposes] In order to study the influence square term cosine term on the dynamics Liu chaotic system，the nonlinear term Liu chaotic system is reconstructed.[Methods] The system dissipation equilibrium point stability the new chaotic system are analyzed by MATLAB stware. The results show that the system is a dissipative system the equilibrium point is an unstable point.In order to study the influence parameters on the system，the dynamic process the system parameters is analyzed by using the phase diagram，bifurcation diagram Lyapunov exponent diagram. In order to realize the mathematical model into a physical practical application model，the chaotic circuit the system is composed an adder，a multiplier，a linear resistor a capacitor， thedifferential equation is simulated by using the first-order state characteristics the capacitor.[Findings] The system is a dissipative system，the equilibrium point is an unstable point， has the complex characteristics periodic chaotic changes，which can increase the chaotic complexity the system under specific parameters ina specific interval.The results show that the designed chaotic circuit is consistent with the theoreticalresults，which verifies the feasibility the chaotic circuit.Conclusions]The system is more conducive to image chaotic encryption in specific high complexity intervals.

Keywords： dissipative system; dynamic analysis; chaos circuit; the first-order state capacitance

0 引言

混沌理论在信息加密通信、图像加密及特征识别、忆阻器及神经网络模拟脑活动等领域得到广泛应用。（剩余4635字）