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OALib Journal期刊
ISSN: 2333-9721
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Applying first-order differential of state variable as feedbackto realize chaos control of Chua''s Circuit
用状态变量的一阶微分反馈法实现蔡电路的混沌控制

Keywords: Chua's circuit,variable differential feedback,chaos control,Hopf bifurcation,circuit simulation
蔡电路
,变量的微分反馈,混沌控制,Hopf分岔,电路仿真

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Abstract:

A method of controlling chaos and bifurcation on Chua's circuit is proposed,in which only a single variable differential feedback is used.A theoretical analysis gave the range of value of control parameter k_1 to stabilize the unstable fixed points in Chua's circuit and its critical value k_0 for generating Hopf bifurcation.The range of values of k_1 to stabilize a certain nP periodic orbit in Chua's circuit was then obtained through the bifurcation diagram.The periodic orbits could be stabilized with appropriate k_1. Then based on this chaos control method,a schematic circuit was designed for controlling Chua's circuit.Numerical and circuit simulations validated this method of controlling chaos and bifurcation on Chua's circuit.

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