CAJ | 학술논문

该文采用文氏桥振荡器和磁通控制的分段线性忆阻器，设计了一种新的单一参数控制的混沌电路。通过调节控制参数，该系统在忆阻器的非线性作用下，通过倍周期分岔产生了混沌和超混沌现象。利用常规的动力学分析手段研究了电路参数变化时系统的动力学特性，例如平衡点稳定性分析，李雅普诺夫指数谱和分岔图。为了验证电路的正确性，该文采用集成运放和压控开关实现了一个分段线性磁控忆阻器的模拟等效电路，并将该系统应用于提出的混沌电路，Pspice仿真结果与理论分析完全吻合。
해문채용문씨교진탕기화자통공제적분단선성억조기，설계료일충신적단일삼수공제적혼돈전로。통과조절공제삼수，해계통재억조기적비선성작용하，통과배주기분차산생료혼돈화초혼돈현상。이용상규적동역학분석수단연구료전로삼수변화시계통적동역학특성，례여평형점은정성분석，리아보낙부지수보화분차도。위료험증전로적정학성，해문채용집성운방화압공개관실현료일개분단선성자공억조기적모의등효전로，병장해계통응용우제출적혼돈전로，Pspice방진결과여이론분석완전문합。
A novel chaotic circuit with a single bifurcation parameter is presented in this paper. The circuit is composed of a Wien-Bridge oscillator and a piecewise-linear memristor. By adjusting the system parameter, the proposed circuit performs chaotic and hyper-chaotic behaviors from doubling-periodic. The dynamic properties of the new circuit are demonstrated via universal dynamics analysis methods such as equilibria stability, Lyapunov exponent spectra and bifurcation diagrams. An equivalent circuit which realizes the action of three segments piecewise linear flux-controlled memristor is proposed and employed to the chaotic circuit. The Pspice simulation results of the resultant circuit are consistent with theoretical analysis.