Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems

摘要

A class of new hyperchaotic systems with different nonlinear termsis proposed, and the existence of hyperchaos is exhibited bycalculating their Lyapunov exponent spectrums. Then the universaltheories on modified projective synchronization (MPS) of thesystems with general form which linearly depends on unknownparameters or time-varying parameters, areinvestigated by presenting an adaptive control strategy togetherwith parameter update laws and a nonlinear control scheme based onLyapunov stability theory. Subsequently, the presented controlmethods are applied to achieve MPS of the new hyperchaotic systems,and their effectiveness is illustrated by numerical simulations.