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- W2356454580 abstract "Synchronization of fractional-order chaotic system has great merit of application and research in security communications and other fields.This paper mainly investigates synchronization and simulation of fractional-order chaotic system with different dimension and different order,and designs a synchronization controller based on active control and stability theory of fractional-order system.Firstly,the chaotic system was separated into two parts,the linear part and the nonlinear part,and the synchronization err equation was built up based on active control theory.Then the controller was obtained based on stability theory of the linear time invariant fractional-order systems,a method for generalizing synchronization of fractional-order chaotic system with different dimension and different orders is proposed.Synchronization 3-dimensions fractional-order chaotic Chen system and 4-dimensions fractional-order hyperchaotic Lorenz system is realized based on the Caputo definition of fractional derivatives and the numerical method of predictor-corrector scheme for fractional differential equations.Numerical simulations show the effectiveness of the developed approach." @default.
- W2356454580 created "2016-06-24" @default.
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- W2356454580 date "2011-01-01" @default.
- W2356454580 modified "2023-09-23" @default.
- W2356454580 title "Synchronization and Simulation of Fractional-Order Chaotic System with Different Dimensions and Different Oders" @default.
- W2356454580 hasPublicationYear "2011" @default.
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