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Synchronization and Impulsive Control of Some Parabolic Partial Differential Equations

机译:一类抛物型偏微分方程的同步与脉冲控制。

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Novel equi-attractivity in large generalized non-linear partial differential equations were performed for the impulsive control of spatiotemporal chaotic. Attractive solutions of these general partial differential equations were determined. A proof for existence of a certain kind of impulses for synchronization such that the small error dynamics that is equi-attractive in the large is established. A comparative study between these general non-linear partial differential equations and the existent reported numerical theoretical models was developed. Several boundary conditions were given to confirm the theoretical results of the general non-linear partial differential equations. Moreover, the equations were applied to Kuramoto-Sivashinsky PDE's equation; Grey-Scott models, and Lyapunov exponents for stabilization of the large chaotic systems with elimination of the dynamic error.
机译:在时空混沌的脉冲控制下,在大型广义非线性偏微分方程中进行了新的等价性。确定了这些一般偏微分方程的有吸引力的解。建立了某种用于同步的脉冲的证明,从而建立了在总体上具有吸引力的小误差动态。这些一般的非线性偏微分方程和现有的报道数值理论模型之间进行了比较研究。给出了几个边界条件,以确认一般非线性偏微分方程的理论结果。此外,该方程式被应用于Kuramoto-Sivashinsky PDE方程式; Grey-Scott模型和Lyapunov指数可消除动态误差,从而稳定大型混沌系统。

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