Modified Function Projective Synchronization between Different Dimension Fractional‐Order Chaotic Systems

Ping Zhou; Rui Ding

doi:10.1155/2012/862989

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Modified Function Projective Synchronization between Different Dimension Fractional‐Order Chaotic Systems

Ping Zhou Rui Ding

Year: 2012 Journal: Abstract and Applied Analysis Vol: 2012 (1) Publisher: Hindawi Publishing Corporation

DOI: 10.1155/2012/862989

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Abstract

A modified function projective synchronization (MFPS) scheme for different dimension fractional‐order chaotic systems is presented via fractional order derivative. The synchronization scheme, based on stability theory of nonlinear fractional‐order systems, is theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.

Keywords:

Mathematics Synchronization (alternating current) Dimension (graph theory) Order (exchange) Chaotic Function (biology) Fractional calculus Stability (learning theory) Nonlinear system Scheme (mathematics) Synchronization of chaos Applied mathematics Pure mathematics Mathematical analysis Control theory (sociology) Topology (electrical circuits) Computer science Control (management) Combinatorics

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Chaos control and synchronization

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Neural Networks Stability and Synchronization

Physical Sciences → Computer Science → Computer Networks and Communications

Nonlinear Dynamics and Pattern Formation

Physical Sciences → Computer Science → Computer Networks and Communications

Modified Function Projective Synchronization between Different Dimension Fractional‐Order Chaotic Systems

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