Open Access
2014 Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization
Jiezhi Wang, Qing Zhang, Zengqiang Chen, Hang Li
Abstr. Appl. Anal. 2014(SI53): 1-9 (2014). DOI: 10.1155/2014/781594


Two ellipsoidal ultimate boundary regions of a special three-dimensional (3D) chaotic system are proposed. To this chaotic system, the linear coefficient of the i th state variable in the i th state equation has the same sign; it also has two one-order terms and one quadratic cross-product term in each equation. A numerical solution and an analytical expression of the ultimate bounds are received. To get the analytical expression of the ultimate boundary region, a new result of one maximum optimization question is proved. The corresponding ultimate boundary regions are demonstrated through numerical simulations. Utilizing the bounds obtained, a linear controller is proposed to achieve the complete chaos synchronization. Numerical simulation exhibits the feasibility of the designed scheme.


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Jiezhi Wang. Qing Zhang. Zengqiang Chen. Hang Li. "Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization." Abstr. Appl. Anal. 2014 (SI53) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023052
MathSciNet: MR3240560
Digital Object Identifier: 10.1155/2014/781594

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
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