JOURNAL ARTICLE

Function Projective Synchronization of Chaotic Fractional Order Systems with Different Dimensions

Abstract

The function projective synchronization of different dimensional fractional order chaotic systems is investigated in this letter. According to the stability theorem of linear fractional order systems, a nonlinear controller to realize the synchronization is obtained. The function projective synchronization between the fractional order chaotic and hyperchaotic Rossler systems is successfully achieved to show the feasibility of the proposed method.

Keywords:
Synchronization (alternating current) Synchronization of chaos Controller (irrigation) Nonlinear system Function (biology) Chaotic Control theory (sociology) Order (exchange) Chaotic systems CHAOS (operating system) Stability (learning theory) Mathematics Computer science Fractional calculus Topology (electrical circuits) Applied mathematics Control (management) Physics Artificial intelligence Combinatorics

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Topics

Chaos control and synchronization
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics
Quantum chaos and dynamical systems
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics
Chaos-based Image/Signal Encryption
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition

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