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Fractional-order Hybrid Optical System and its Chaos Control Synchronization

机译:分数阶混合光学系统及其混沌控制同步

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In this work, a fractional chaotic system is introduced, where the capacitorand the inductor of the original circuit are replaced by a fractional electric element calledfractance. Moreover, a feedback nonlinear controller is designated and used both to controlchaos in this fractional system to its unstable (equilibriums or periodic orbits) and to achieveidentical synchronization. Furthermore non-identical synchronization is studied to achievesynchronization between two coupled systems with different fractional orders. Numericalsimulations show the effectiveness of the theoretical analysis.
机译:在这项工作中,引入了分数混沌系统,其中原始电路的电容器和电感器被称为分数的分数电子元件代替。此外,指定了反馈非线性控制器,并将其用于将此分数系统中的混沌控制为其不稳定(平衡或周期性轨道)并实现相同的同步。此外,研究了不同同步,以实现具有不同分数阶的两个耦合系统之间的同步。数值模拟表明了理论分析的有效性。

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