Abstract:A new three-dimensional chaotic system was proposed.By adjusting system parameters, the system may have multiple types of equilibrium points, such as an unstable equilibrium point, no equilibrium point, infinite equilibrium points and a stable equilibrium point, while maintaining its chaotic dynamical behaviors.In addition, with the change of parameters and initial values, it is found that the system is a large-scale chaotic system and has coexistence attractors under the condition of asymmetry.The system’s basic dynamic behaviors were analyzed by using the phase diagram, Lyapunov exponent spectrum and bifurcation diagram.By virtue of topological horseshoe theory and by means of numerical calculations, the system’s topological horseshoe and topological entropy were obtained, which further proves its chaotic characteristics in theory.
通讯作者:
1.School of Optoelectronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
2.School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
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