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Effects of autapse on the chimera state in a Hindmarsh-Rose neuronal network
Chaos, Solitons & Fractals ( IF 5.3 ) Pub Date : 2021-10-14 , DOI: 10.1016/j.chaos.2021.111498
Sajedeh Aghababaei 1 , Sundarambal Balaraman 2 , Karthikeyan Rajagopal 3 , Fatemeh Parastesh 1 , Shirin Panahi 1 , Sajad Jafari 1, 4
Affiliation  

Autapse is introduced as a self-feedback connection that connects the dendrites and axons of the same neuron. Previous studies have revealed that the existence of the autapse can influence the synchronized behaviours of the coupled neurons. In this paper, the chimera state is studied in the presence of autaptic connections. To this aim, a regular network of Hindmarsh-Rose neurons with electrical synapses and autapses is considered. The neurons' collective behaviour and firing patterns are investigated by varying the coupling and the autapse parameters. The results show that for short autaptic time delays, the chimera's occurrence domain is shifted towards lower autapse gains by increasing the coupling strength. On the other hand, the coupling strength has less effect for more extended time delays, and the chimera's domain is only dependent on the autapse gain. However, when the coupling strength grows too large, the time delay loses its effect. Consequently, a desirable dynamical state can be attained by regulating the coupling strength, coupling range, autapse time delay and autapse gain.



中文翻译:

自噬对 Hindmarsh-Rose 神经元网络中嵌合体状态的影响

Autapse 被引入作为连接同一神经元的树突和轴突的自我反馈连接。先前的研究表明,自噬的存在会影响耦合神经元的同步行为。在本文中,研究了存在自适配连接的嵌合体状态。为此,考虑了具有电突触和自突触的 Hindmarsh-Rose 神经元的常规网络。通过改变耦合和自突参数来研究神经元的集体行为和放电模式。结果表明,对于短的自突时间延迟,通过增加耦合强度,嵌合体的发生域向较低的自突增益移动。另一方面,耦合强度对更长时间延迟的影响较小,而嵌合体' s 域仅依赖于 autapse 增益。但是,当耦合强度过大时,延时就失去了作用。因此,可以通过调节耦合强度、耦合范围、自突进时间延迟和自突进增益来获得理想的动态状态。

更新日期:2021-10-14
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