四阶忆阻考毕兹混沌振荡器研究  

Research on Fourth-Order Memristive Colpitts Chaotic Oscillator

作　　者：徐权[1] 林毅[1] 包伯成[1] 王宁[1] 

机构地区：[1]常州大学信息科学与工程学院,江苏常州213164

出　　处：《常州大学学报（自然科学版）》2016年第4期82-86,共5页Journal of Changzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(51277017);江苏省教育厅自然科学基金面上项目(14JKB430004);常州市基础研究计划(自然科学基金)(CJ20159026)

摘　　要：通过在三阶考毕兹混沌振荡器中引入一阶广义忆阻器,提出了一种新颖的四阶忆阻考毕兹混沌振荡器,其中一阶广义忆阻器由二极管桥级联一阶RC滤波器构成。建立了忆阻考毕兹混沌振荡器的动力学模型,研究了它的平衡点和稳定性,结果表明:四阶忆阻考毕兹混沌振荡器具有唯一的不稳定鞍焦。进一步开展了依赖于电路元件参数的动力学特性研究。采用理论分析、数值仿真和实验验证相结合的方法,对电路展现出的混沌吸引子、周期极限环等复杂的非线性现象进行了研究,实验结果与数值仿真结果相一致,较好地验证了理论分析结果。By introducing first-order generalized memristor into a third-order Colpitts chaotic oscillator, a new fourth-order memristive Colpitts chaotic oscillator is proposed. The first-order generalized memristor is realized by a full-wave rectifier cascaded with a first-order parallel RC filter. The dynamical model of the memristive Colpitts chaotic oscillator is established, upon which the equilibrium point and its stability are studied. The results indicate that the fourth-order colpitts chaotic oscillator has only one unstable saddle- loci. Furthermore, the dynamics depending on circuit element parameter is investigated. The nonlinear phenomena of chaotic oscillations and periodic limit cycle are illustrated by combining the theoretical analy- sis, numerical simulation and experimental measurement. The experimental measurement and numerical simulation are consistent well, which well verifies the theoretical analysis.

关 键 词：一阶广义忆阻器 忆阻考毕兹混沌振荡器 动力学行为 非线性现象 

分 类 号：O41[理学—理论物理]