Open AccessA Five-Dimensional Grid Multi-wing Butterfly Chaotic System and Its Circuit Simulation
Author(s) -
Yun Huang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1575/1/012217
Subject(s) - chaotic , butterfly , lyapunov exponent , attractor , butterfly effect , wing , computer simulation , computer science , bifurcation diagram , grid , piecewise linear function , control theory (sociology) , bifurcation , nonlinear system , mathematics , mathematical analysis , physics , simulation , geometry , control (management) , finance , quantum mechanics , artificial intelligence , economics , thermodynamics
Based on the two-wing butterfly chaotic system, through adding two first-order differential equations with the piecewise linear function, a five-dimensional grid multi-wing butterfly chaotic system is presented. Through numerical simulation, it is studied for the gird multi-wing butterfly chaotic attractors, the Lyapunov exponent spectrum and the bifurcation diagram of the system. At the end, an electronic circuit is designed to carry out the system. The circuit experimental results are consistent with the results of numerical simulation, which confirm the availability and feasibility of this approach.