Design and circuit simulation of a multi-wing chaotic attractor based on a threshold-adjustables witched system
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    Abstract:

    In this paper,a design scheme for the generation of multi-wing chaotic attractors by adjusting the threshold of a class of state-dependent switched systems is proposed.First,two Lorenz-like subsystems are constructed,and based on these two subsystems,threshold-dependent switching law is designed,and a state-dependent switched system is constructed.Finally,by adjusting the threshold of the switched system,the number and distribution of saddle-focus equilibrium points of the switched system can be changed.Therefore,the constructed switched system can generate chaotic attractors with 4-6-8 wings.In addition,the analog circuit of the switched system is designed by analyzing the state equations of the switched system.The simulation results of the analog circuit are consistent with those of numerical simulation.The experimental results show that the proposed design scheme provides a method of generating multi-wing chaotic attractors without increasing the dimension of the system or designing complex nonlinear functions.

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SHI Qingyu, HUANG Xia. Design and circuit simulation of a multi-wing chaotic attractor based on a threshold-adjustables witched system[J]. Journal of Nanjing University of Information Science & Technology,2019,11(4):467-473

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History
  • Received:June 27,2019
  • Online: September 03,2019
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