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Construction of Generalized Synchronization for a Kind of Array Differential Equations and Applications |
| ZHANG Xiao-Dan;ZHANG Li-Li;MIN Le-Quan |
| Applied Science School, University of Science and Technology Beijing, Beijing 100083 |
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| Cite this article: |
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ZHANG Xiao-Dan, ZHANG Li-Li, MIN Le-Quan 2003 Chin. Phys. Lett. 20 2114-2117 |
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Abstract Chaos synchronization, as a special complex phenomenon, has been studied for about a decade. Only recently, generalized chaotic synchronization phenomena have been realized to be general in the real world and have potential applications. We present two theorems for constructing a kind of array differential equations with generalized synchronization (GS) with respect to linear transformations. Two array differential equation systems with GS are introduced based on our theorems. Numerical simulations show that the two systems display periodic GS and chaotic GS, respectively.
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| Keywords:
05.45.Xt
05.45.Jn
05.45.Gg
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Published: 01 December 2003
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Jn
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(High-dimensional chaos)
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05.45.Gg
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(Control of chaos, applications of chaos)
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