Research And Design Of Complex Multi-wing Chaotic System

Because complex multi-wing chaotic system have more complex dynamic characteristics compared with general chaotic system,they have better application prospect in image encryption,electronic engineering and secure communication.However,the general complex multi-wing chaotic system can't produce arbitrary shaped distributed chaotic attractor,leading to the structure of chaotic attractor isn't complicated enough.In addition,in the case of individual complex multi-wing hyperchaotic systems,the general complex multi-wing chaotic system can onl y produce single positive Lyapunov exponent,so the dynamic characteristics of chaotic sys tem are not rich enough.Therefore,new methods are needed to generate chaotic system with multiple positive Lyapunov exponents and distributed attractor.Though the study of various complex multi-wing chaotic system,a new four-wing chaotic system,a distributed attractor chaotic system with arbitrary shaped(including heart-shaped,oval,circle,piecewise-linear,and cuboid)based on a novel four-wing chaotic system and a distributed attractor chaotic system with arbitrary shaped of spherical attractor(including circle,heart-shaped,clover-shaped and cuboid)is proposed,the specific innovation and content are as follows:(1)A distributed attractor chaotic system with arbitrary shaped(including heartshaped,oval,circle,piecewise-linear,and cuboid)based on a novel four-wing chaotic system is proposed.Compared with the general complex multi-wing chaotic system,the distributed attractor chaotic system designed in this paper can make the attractors of the chaotic system arranged in arbitrary shape in different plane,and can generate any number of positive Lyapunov exponents,which grea tly improve nonlinear dynamics of the chaotic system.Some basic dynamic parameter is verified by Matlab simulation software,such as phase diagram,Lyapunov exponent,bifurcation diagram and balance point.Finally,the proposed heart-shaped distributed attractor chaotic system is applied to image encryption.Numerical simulation result show that the encryption scheme has good performance.(2)A distributed attractor chaotic system with arbitrary shaped(including circular,heart,clover and cube)with spherical attractor is proposed.Firstly,the method of generating 4n-wing spherical chaotic attractor by fractal technique is introduced.Then,the method of generating 4n-wing spherical chaotic attractor is combined with the arbitrary shaped distributed attractor chaotic system,and the attractor in the distributed attractor chaotic system is again fractalized into a 4n-wing spherical chaotic attractor.This method can increase the complexity of a single attractor in a distributed attractor chaotic system,and can generate any number of positive Lyapunov exponents,which improve the dynamic of the chaotic system and the complexity of the topology.Finally,the Lyapunov exponents,Poincaré map and attractor phase diagram of the chaotic system is carried out by Matlab.