Stability and Spatial Chaos in 2D Henon System

Sun, Fuyan; Lü, Zongwang

doi:10.18576/amis/100234

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…Motivated by the above discussions, this paper focuses on generalized synchronization of the following two spatially generalized 2D Henon systems

({, \begin{matrix} array x_{m + 1, n} + ω x_{m, n + 1} = 1 + β_{1} (1 + ω) y_{m, n} - \\ array α_{1} {[(1 + ω) x_{m, n}]}^{2}, \\ array y_{m + 1, n} + ω y_{m, n + 1} = (1 + ω) x_{m, n}, \end{matrix})

({, \begin{matrix} array z_{m + 1, n} + ω z_{m, n + 1} = 1 + β_{2} (1 + ω) w_{m, n} \\ array - α_{2} {[(1 + ω) z_{m, n}]}^{2}, \\ ... \end{matrix})

…”

Section: Introductionmentioning

confidence: 99%

“…In fact, compared with the low dimensional system, the high dimensional system is more universal, and its application is more extensive in practical engineering areas including secure communication, power converters, and information processing. Motivated by the above discussions, this paper focuses on generalized synchronization of the following two spatially generalized 2D Henon systems [30]…”

Section: Introductionmentioning

confidence: 99%

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Linear Generalized Synchronization of Spatial Chaotic Systems

Quan

Liu

2018

Asian Journal of Control

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This paper is devoted to study the generalized synchronization of spatial chaotic systems by applying linear coupling. Based on the stability of the fixed point of a plane system, we obtain the stable domain of the space plane. According to the stable domain of the space plane, the stable domain of the coupling strength for the linear generalized synchronization of the spatial chaotic systems is determined. Moreover, the relationship between the stable fixed plane and the synchronization of the spatial chaos system is also analyzed. Finally, an example is presented to validate the scheme and the analysis.

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“…Motivated by the above discussions, this paper focuses on generalized synchronization of the following two spatially generalized 2D Henon systems