Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization

Jiezhi Wang, Qing Zhang, Zengqiang Chen and Hang Li

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

Two ellipsoidal ultimate boundary regions of a special three-dimensional (3D) chaotic system are proposed. To this chaotic system, the linear coefficient of the th state variable in the 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:781594

DOI: 10.1155/2014/781594

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