Application of chaotic systems with multiple vortices in secure communication
A new three-dimensional chaotic system is constructed,which has abundant multistable properties,that is,the existence of multiple vortex attractors.By studying and analyzing the equilibrium point and stability,attractor phase diagram,Lyapunov exponent spectrum and bifurcation diagram of the system,it is found that the system has complex dynamic characteristics and topological structure with four vortices of attractors.The influence of parameters and initial conditions on the multistability of the system is analyzed.The results show that when the system parameters are changed and the initial conditions are selected,the system will have different types of multi-vortex attractors,such as double-vortex,three-vortex,and four-vortex.Based on the proposed new three-dimensional chaotic system,the synchronization between the system and the classical Lorenz chaotic system is realized by the shift mapping synchronization method under the action of synchronization controller.Finally,the synchronization controller is applied to the chaotic masking secure communication.The simulation results show that the method is reliable and effective,and has good application value in the field of synchronous communication.
chaotic systemmultistabilitysynchronous controlconfidential communication