|Table of Contents|

Analysis and implementation of memristive chaotic system with multiple attractors(PDF)

Journal of Shenzhen University Science and Engineering[ISSN:1000-2618/CN:44-1401/N]

Issue:
2022 Vol.39 No.4(363-488)
Page:
480-488
Research Field:
Electronics and Information Science

Info

Title:
Analysis and implementation of memristive chaotic system with multiple attractors
Author(s):
CAO Ke LAI Qiang and LAI Cong
School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, Jiangxi Province, P. R. China
Keywords:
chaos memristive Sprott-J chaotic system inverse period-doubling bifurcation multiple attractors bifurcation diagrams Lyapunov exponent spectrum circuit implementation
PACS:
TM132;O415.5
DOI:
10.3724/SP.J.1249.2022.04480
Abstract:
A new four-dimensional memristive chaotic system with infinite equilibrium points is constructed by introducing the magnetically controlled memristor as the negative feedback of Sprott-J system. All non-linear terms of the system are concentrated in a single equation. The dissipation of the system, the existence and stability of the equilibrium point set and the Lyapunov exponent and dimension of the system are analyzed. The dynamic characteristics of the chaotic system are studied by using bifurcation diagram and Lyapunov exponent spectrum. The numerical simulation of Matlab show that the new system is a dissipative system and has a set of line equilibrium points. The dynamic analysis results show that the new memristive Sprott-J system has the phenomenon of inverse period-doubling bifurcation when changing the parameters, and the coexistence of multiple attractors when changing the initial conditions. The chaotic bifurcation characteristics of the system under different initial conditions and system parameters are studied. The multiple attractor characteristics of chaos and chaos, chaos and period, period and period coexistence are obtained. The circuit implementation and numerical simulation of the system are carried out by using Multisim software. The results show that the numerical simulation is consistent with the corresponding circuit results, which verifies the physical feasibility of the new memristive Sprott-J chaotic system, and provides a theoretical basis for the application of the system in the field of image encryption.

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