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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 804964, 11 pages
http://dx.doi.org/10.1155/2013/804964
Research Article

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

School of Mathematical Sciences, Harbin Normal University, Harbin 150025, China

Received 24 November 2012; Revised 7 March 2013; Accepted 13 March 2013

Academic Editor: Tianshou Zhou

Copyright © 2013 Nuo Jia and Tao Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depends on unknown parameters or time-varying parameters, are investigated by presenting an adaptive control strategy together with parameter update laws and a nonlinear control scheme based on Lyapunov stability theory. Subsequently, the presented control methods are applied to achieve MPS of the new hyperchaotic systems, and their effectiveness is illustrated by numerical simulations.