含两个磁控忆阻器的五阶混沌电路设计

Design of a five-order chaotic circuit with two flux-controlled memristors

基于经典蔡氏混沌振荡电路,利用2个磁控光滑忆阻器以及电容、电感设计了一种新的五阶混沌振荡电路。讨论了平衡点稳定性,分析了相图、Lyapunov指数和分岔图。此双忆阻混沌电路具有复杂的动力学行为,运动轨迹依赖于电路参数和电路初始状态;从能量的角度探索了奇异吸引子,结果表明系统存在不同吸引子共存的多稳态现象。用PSpice进行了电路设计,验证了Matlab理论仿真正确性和电路设计的可实现性。

A novel magnetron memristor model based on the cubic smooth memristor is proposed,a new chaotic oscillation circuit of five-order is designed by using two magnetically smooth memristors,common capacitors and inductors.It is found that the dual-memristor system has the equilibrium point set.The phase diagram,Lyapunov exponent and bifurcation diagram are analyzed by using the conventional dynamics method.The dual-memristor chaotic circuit has complex dynamic behaviors.The motion trajectory is not only dependent on the circuit parameters but also affected by the initial state of the circuit.Strange attractors are explored in terms of energy,resulting in the coexistence of different periodic motions and different chaotic attractors with different topologies.The correctness of Matlab simulation and the realization of the circuit design are verified by PSpice.