Abstract and Applied Analysis

A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions

Jian Liu, Shutang Liu, and Fangfang Zhang

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Abstract

We introduce a new Dadras system with complex variables which can exhibit both four-wing hyperchaotic and chaotic attractors. Some dynamic properties of the system have been described including Lyapunov exponents, fractal dimensions, and Poincaré maps. More importantly, we focus on a new type of synchronization method of modified hybrid project synchronization with complex transformation matrix (CMHPS) for different dimensional hyperchaotic and chaotic complex systems with complex parameters, where the drive and response systems can be asymptotically synchronized up to a desired complex transformation matrix, not a diagonal matrix. Furthermore, CMHPS between the novel hyperchaotic Dadras complex system and other two different dimensional complex chaotic systems is provided as an example to discuss increased order synchronization and reduced order synchronization, respectively. Numerical results verify the feasibility and effectiveness of the presented schemes.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 257327, 16 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606724

Digital Object Identifier
doi:10.1155/2014/257327

Mathematical Reviews number (MathSciNet)
MR3219361

Zentralblatt MATH identifier
07022015

Citation

Liu, Jian; Liu, Shutang; Zhang, Fangfang. A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 257327, 16 pages. doi:10.1155/2014/257327. https://projecteuclid.org/euclid.aaa/1412606724


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