Abstract and Applied Analysis

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

Nuo Jia and Tao Wang

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 804964, 11 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511869

Digital Object Identifier
doi:10.1155/2013/804964

Mathematical Reviews number (MathSciNet)
MR3049377

Zentralblatt MATH identifier
06209451

Citation

Jia, Nuo; Wang, Tao. Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems. Abstr. Appl. Anal. 2013 (2013), Article ID 804964, 11 pages. doi:10.1155/2013/804964. https://projecteuclid.org/euclid.aaa/1393511869


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