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Creation and circuit implementation of two‐to‐eight–wing chaotic attractors using a 3D memristor‐based system
Author(s) -
Zhong Xiaoyun,
Peng Minfang,
Shahidehpour Mohammad
Publication year - 2019
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2611
Subject(s) - attractor , memristor , lyapunov exponent , phase portrait , chaotic , bifurcation , function (biology) , matlab , control theory (sociology) , computer science , mathematics , topology (electrical circuits) , mathematical analysis , statistical physics , physics , nonlinear system , artificial intelligence , electronic engineering , engineering , control (management) , quantum mechanics , evolutionary biology , combinatorics , biology , operating system
Summary This paper constructs a three‐dimensional (3D) memristor‐based system for creating multiwing chaotic attractors. A second‐degree polynomial memristance function and a sixth‐order exponent internal state memristor function with one parameter are employed, and the complexity of attractors is increased. A detailed analysis on dynamical behaviors of the proposed system are described, such as the bifurcation diagrams, finite‐time local Lyapunov exponents, time series, phase portraits, and Poincaré maps. By adjusting the design parameters, the system displays two‐to‐eight–wing chaotic attractors, especially the five‐wing and seven‐wing attractors, which have never been found in the known systems. Further, we provide the calculation formula of the number of wings in the system, discuss the distribution of the involving inner holes on the plane, and design an electronic circuit to realize the proposed system. The experimental results of the circuit implementation agree with the numerical simulations on Matlab well. It indicates the potential engineering applications for various chaos‐based information systems.