Modified Function Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions

Autor: Hong-Juan Liu, Zhi-Liang Zhu, Hai Yu, Qian Zhu
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2013 (2013)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2013/763564
Popis: The modified function projective synchronization of different dimensional fractional-order chaotic systems with known or unknown parameters is investigated in this paper. Based on the stability theorem of linear fractional-order systems, the adaptive controllers with corresponding parameter update laws for achieving the synchronization are given. The fractional-order chaotic system and hyperchaotic system are applied to achieve synchronization in both reduced order and increased order. The corresponding numerical results coincide with theoretical analysis.
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