一類新型混沌系統(tǒng)的動(dòng)力學(xué)分析及電路設(shè)計(jì)

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關(guān)鍵詞：耗散系統(tǒng)；動(dòng)態(tài)分析；混沌電路；電容一階狀態(tài)

中圖分類號(hào)：TN601 文獻(xiàn)標(biāo)志碼：A 文章編號(hào)：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

混沌理論在信息加密通信、圖像加密及特征識(shí)別、憶阻器及神經(jīng)網(wǎng)絡(luò)模擬腦活動(dòng)等領(lǐng)域得到廣泛應(yīng)用。（剩余4635字）