Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/5274
| Title: | Pinning synchronization of delayed neural networks | Authors: | Zhou, J Wu, X Yu, W Small, M Lu, JA |
Issue Date: | Dec-2008 | Source: | Chaos, Dec. 2008, v. 18, no. 4, 043111, p. 1-9 | Abstract: | This paper investigates adaptive pinning synchronization of a general weighted neural network with coupling delay. Unlike recent works on pinning synchronization which proposed the possibility that synchronization can be reached by controlling only a small fraction of neurons, this paper aims to answer the following question: Which neurons should be controlled to synchronize a neural network? By using Schur complement and Lyapunov function methods, it is proved that under a mild topology-based condition, some simple adaptive feedback controllers are sufficient to globally synchronize a general delayed neural network. Moreover, for a concrete neurobiological network consisting of identical Hindmarsh–Rose neurons, a specific pinning control technique is introduced and some numerical examples are presented to verify our theoretical results. | Keywords: | Adaotuve systems Complex networks Delays Lyapunov methods Neural nets Neurophysiology synchronisation |
Publisher: | American Institute of Physics | Journal: | Chaos | ISSN: | 1054-1500 | EISSN: | 1089-7682 | DOI: | 10.1063/1.2995852 | Rights: | © 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Zhou et al., Chaos: an interdisciplinary journal of nonlinear science 18, 043111 (2008) and may be found at http://link.aip.org/link/?cha/18/043111 |
| Appears in Collections: | Journal/Magazine Article |
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|---|---|---|---|---|
| Zhou_Pinning_Synchronization_Neural.pdf | 9.95 MB | Adobe PDF | View/Open |
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