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Multi-Stability Analysis of an Active Charge-ControlledMemristive System and Circuit Implementation(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2019年01期
Page:
19-
Research Field:
电气与自动化工程
Publishing date:

Info

Title:
Multi-Stability Analysis of an Active Charge-ControlledMemristive System and Circuit Implementation
Author(s):
Li Chuang; Min Fuhong; Lü Yanmin
School of NARI Electrical and Automation,Nanjing Normal University,Nanjing 210023,China
Keywords:
active charge-controlled memristor; Chua’s circuit; memristive chaotic system; multi-stable coexistence
PACS:
TP271
DOI:
10.3969/j.issn.1672-1292.2019.01.003
Abstract:
In the paper,a new type of five-dimensional memristive chaotic system is easily implemented by replacing a nonlinear resistance in the Chua’s circuit with an active charge-controlled memristor. Firstly,the stable equilibrium and unstable equilibrium point sets of the system are analyzed theoretically by establishing the dimensionless equation. Next,through Lyapunov index spectrum,bifurcation diagram and phase track diagram,the coexistence phenomena of the system with respect to the changes and initial condition is studied. When different initial conditions are used,the system displays the coexistent phenomenon of chaotic attractors with different topological structures or several limit cycles with different attraction domains,as well as the phenomenon of multiple attractors of several periodic limit cycle and chaotic attractors with multiple topological structures. Finally,based on multisim circuit simulation model,the simulation results are consistent with the numerical simulations and relevant theoretical analysis. These show the correctness of dynamic analysis and the physical realizability of the system,and lay a foundation for expanding the application in encryption.

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Last Update: 2019-03-30