Modified projective synchronization of different chaotic systems using adaptive control

This paper presents the modified projective synchronization between different chaotic systems with unknown parameters. An adaptive control scheme is designed for the projective synchronization between different chaotic systems, based on Lyapunov stability theorem. In this method, one can achieve syn...

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Veröffentlicht in:Computational & applied mathematics 2017-09, Vol.36 (3), p.1315-1332
Hauptverfasser: Hamri, Nasr-eddine, Ouahabi, Rabiaa
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper presents the modified projective synchronization between different chaotic systems with unknown parameters. An adaptive control scheme is designed for the projective synchronization between different chaotic systems, based on Lyapunov stability theorem. In this method, one can achieve synchronization between almost all chaotic systems, e.g., Genisio system, Chen system, Lü system, etc. Although the models used in the research are the systems with unknown parameters, the method is also available and important for the systems with known parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.
ISSN:0101-8205
2238-3603
1807-0302
DOI:10.1007/s40314-015-0294-4