Analysis and Synchronization of a Four-dimensional Hyperchaotic System with Large Lyapunov Exponent
A four dimensional hyperchaotic system with a large Lyapunov exponent was constructed based on a three-dimen-sional chaotic system,and its dissipation and stability of the equilibrium point were analyzed.One parameter changed and other pa-rameters fixed,the impact of each parameter change on the Lyapunov exponent spectrum of the system was calculated and analyzed sequentially.From the variation of Lyapunov exponent spectrum with each parameter,the parameter variation ranges of chaotic and hyperchaotic motion of the system were determined.Then,the phase diagram was used to study the motion law of the system with variation of system parameters.Finally,a linear feedback controller was designed to achieve chaos synchronization of the hyper-chaotic system,and the results showed that the method was correct and effective.The chaotic and hyperchaotic characteristics of the system in the chaotic and hyperchaotic motion parameter ranges can provide more options for engineering applications based on cha-otic and hyperchaotic theories.The obtained results provide a theoretical reference for the application of the hyperchaotic system in chaotic secure communication.
万方数据
维普
