Generalized Synchronization of Chaotic System with Constant Lyapunov Exponent Spectrum

A constant-Lyapunov-exponent-spectrum chaotic system was proposed by Li et al where exists a special local amplitude modulation parameter changing the amplitudes of certain two signals generated by the system in linearity while the dynamical behavior keeps on invariable at the same time.By means of generalized synchronization,synchronized control of chaotic system with constant Lyapunov exponent spectrum is studied.Meanwhile the method of chaotic hiding is used to do experiments of numerical simulation.The result proves the effectiveness of generized synchronization of this spectial chaotic system,and its application prospect is pointed out.