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Inverse projective synchronization between two different hyperchaotic systems with fractional order

机译:具有分数阶的两个不同超混沌系统之间的逆投影同步

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摘要

This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.
机译:本文主要研究了两个不同的分数阶超混沌系统,即分数阶超混沌Lorenz系统和分数阶超混沌Chen系统之间的新型逆投影同步。利用分数阶微分方程的稳定性理论和分数阶系统的Lyapunov方程,设计了两种合适的实现逆投影同步的控制器,其中分数阶超混沌Lorenz的广义同步,反同步和投影同步系统和分数阶超混沌Chen系统也分别成功实现。最后,仿真表明该方法的有效性和可行性。

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