Abstract
This paper brings attention on the hybrid synchronization of the Chen hyper-chaotic system by using some simple controllers. We give the sufficient conditions for achieving the goal by using the Lyapunov stability theory, and we verify our conclusion by numerical simulations.
Highlights
Since Li and Yoke first put up the concept of chaos [1] in 1975, chaos has attracted many researchers’ attention
Zhang used a linear feedback control method and an adaptive feedback control method to guarantee the hybrid synchronization in general Lorenz system [12]
We study the hybrid synchronization of a
Summary
Since Li and Yoke first put up the concept of chaos [1] in 1975, chaos has attracted many researchers’ attention. Chaos synchronization has received much more attention due to its broad application prospects in brain disorder, secure communication, and information processing, etc. Hybrid synchronization (both anti-synchronization and synchronization co-exist) has an important application in information processing [10], only a few researchers study about it. G. Li used a single variable to control the hybrid synchronization of coupled Chen system [11]. Zhang used a linear feedback control method and an adaptive feedback control method to guarantee the hybrid synchronization in general Lorenz system [12]. Hyper-chaos synchronization has become a new subject of active research [13]. Sudheer used active controls to accomplish the hybrid synchronization of Lü hyper-chaotic system [13]. We will find our method seems simpler compared to Sudheer’s method [13]
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