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Discrete Dynamics in Nature and Society
Article . 2014 . Peer-reviewed
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Discrete Dynamics in Nature and Society
Article
License: CC BY
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Article . 2014
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Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers

Synchronization of fractional-order hyperchaotic systems via fractional-order controllers
Authors: Tianzeng Li; Yu Wang; Yong Yang;

Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers

Abstract

In this paper, the synchronization of fractional-order chaotic systems is studied and a new fractional-order controller for hyperchaos synchronization is presented based on the Lyapunov stability theory. The proposed synchronized method can be applied to an arbitrary four-dimensional fractional hyperchaotic system. And we give the optimal value of control parameters to achieve synchronization of fractional hyperchaotic system. This approach is universal, simple, and theoretically rigorous. Numerical simulations of several fractional-order hyperchaotic systems demonstrate the universality and the effectiveness of the proposed method.

Related Organizations
Keywords

QA1-939, Synchronization of solutions to ordinary differential equations, Fractional ordinary differential equations, Chaos control for problems involving ordinary differential equations, Mathematics, Control/observation systems governed by ordinary differential equations, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
gold