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- Title
Modified Function Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions.
- Authors
Hong-Juan Liu; Zhi-Liang Zhu; Hai Yu; Qian Zhu
- Abstract
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.
- Subjects
FRACTIONAL calculus; SYNCHRONIZATION; CHAOS theory; PARAMETER estimation; LINEAR systems; NUMERICAL analysis; STABILITY theory
- Publication
Discrete Dynamics in Nature & Society, 2013, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2013/763564