Synchronization of fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions
Abstract By constructing two scaling matrices, i.e., a function matrix Λ ( t ) $\Lambda (t)$ and a constant matrix W which is not equal to the identity matrix, a kind of W − Λ ( t ) $W-\Lambda(t)$ synchronization between fractional-order and integer-order chaotic (hyper-chaotic) systems with differe...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2017-10-01
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Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-017-1399-4 |
Summary: | Abstract By constructing two scaling matrices, i.e., a function matrix Λ ( t ) $\Lambda (t)$ and a constant matrix W which is not equal to the identity matrix, a kind of W − Λ ( t ) $W-\Lambda(t)$ synchronization between fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions is investigated in this paper. Based on the fractional-order Lyapunov direct method, a controller is designed to drive the synchronization error convergence to zero asymptotically. Finally, four numerical examples are presented to illustrate the effectiveness of the proposed method. |
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ISSN: | 1687-1847 |