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基于几何奇异摄动法分析HR系统中参数导致的动力学转迁机制 被引量:1
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作者 周荣佩 郑远广 《南昌航空大学学报(自然科学版)》 CAS 2016年第3期1-7,共7页
本文首先考察了系统中关键参数对系统慢变流形结构的影响,从而阐明这些参数变化时导致各种典型的动力学现象和动力学转迁的内在机制。本文的研究将有助于进一步理解生物神经系统中复杂的放电现象,同时也丰富了非线性科学的内容。
关键词 几何奇异摄动法 稳定性切换法 动力学转迁 神经元hr系统
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Synchronization and bursting transition of the coupled Hindmarsh-Rose systems with asymmetrical time-delays 被引量:17
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作者 FAN DengGui WANG QingYun 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2017年第7期1019-1031,共13页
The study of synchronization and bursting transition is very important and valuable in cognitive activities and action control of brain as well as enhancement for the reliability of the cortex synapses. However, we wo... The study of synchronization and bursting transition is very important and valuable in cognitive activities and action control of brain as well as enhancement for the reliability of the cortex synapses. However, we wonder how the synaptic strength and synaptic delay, especially the asymmetrical time-delays between different neurons can collectively influence their synchronous firing behaviors. In this paper, based on the Hindmarsh-Rose neuronal systems with asymmetrical time-delays, we investigate the collective effects of various delays and coupling strengths on the synchronization and bursting transition. It is shown that the interplay between delay and coupling strength can not only enhance or destroy the synchronizations but also can induce the regular transitions of bursting firing patterns. Specifically, as the coupling strength or time-delay increasing, the firing patterns of the time-delayed coupling neuronal systems consistently present a regular transition, that is, the periods of spikes during the bursting firings increase firstly and then decrease slowly. In particular, in contrast to the case of symmetrical time-delays,asymmetrical time-delays can lead to the paroxysmal synchronizations of coupling neuronal systems, as well as the concentration level of synchronization for the non-identically coupled system is superior to the one of identical coupling. These results more comprehensively reveal the rich nonlinear dynamical behaviors of neuronal systems and may be helpful for us to have a better understanding of the neural coding. 展开更多
关键词 asymmetrical time-delay synchronization transition bursting firing pattern bifurcation
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