The synchronization of a new chaotic system with constant terms under the unknown pa-rameters is studied.The properties of a new chaotic system with constant terms are analyzed from five aspects:stability,dissipation,poincare mapping,power spectrum and initial sensitivity of the equilibrium point.Based on the modified function projection synchronization method,the effective control input and parameter adaptive law are designed.According to Lyapunov function stability theorem,the asymptotic stability of the modified function projection synchronization error system at the origin is proved theoreti-cally.Thus,the synchronization control of modified function projection for new chaotic system is real-ized.Numerical simulation proves the correctness of the synchronization method,which can be applied to the research of chaotic secure communication.
关键词
混沌系统/Rössler系统/修正函数投影同步/常数项/平衡点
Key words
chaotic system/system/modified function projection synchronization/constant terms/equilibrium point