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Synchronization of nonlinearly coupled systems of Hindmarsh-Rose neurons with time delays
|Issue Date:||2020-02-05 17:59:32 (UTC+8)|
|Abstract:||在此論文，我們研究Hindmarsh-Rose 神經元耦合系統的同步化，我們所考慮的模型之耦合結構可以相等的一般性。模型所具備的耦合函數可以是非線性的，耦合矩陣可容許非零的非對角元素能有不同的正負號，並且我們也考慮耦合時間延遲。藉由 的同步化理論，我們推導出與時間延遲相關的同步化條件。我們提供兩個數值例子來表現本論文同步化理論之效用。|
In this thesis, we investigate the synchronization of coupled systems of Hindmarsh-Rose neurons. The coupling scheme under consideration is general. The coupling functions could be non-linear. The connection matrix could have non-zero and non-diagonal entries with different signs. We also consider the transmission delays in the coupling terms of the coupled systems. We derive a delay-dependent criterion that leads to the synchronization of coupled neurons. Two
examples with numerical simulations are illustrated to show the effectiveness of theoretical result.
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