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龙虾心脏神经节模型的动力学分析
引用本文:吴慧玲,刘深泉. 龙虾心脏神经节模型的动力学分析[J]. 动力学与控制学报, 2012, 10(2): 168-170
作者姓名:吴慧玲  刘深泉
作者单位:华南理工大学理学院应用数学系,广州 510640;华南理工大学理学院应用数学系,广州 510640
基金项目:国家自然科学基金资助项目 (10872069)
摘    要:通过对龙虾心脏神经节模型的研究,从非线性动力学角度对模型所产生的簇发放做了详细的分析,讨论了不同电生理参数条件下,模型簇发放中所蕴含着的丰富的动力学性质,如:峰峰间距(InterSpike Intervals,ISIs)的加周期分岔和倍周期分岔等.通过模型分析结果可进一步理解龙虾心脏神经节动作电位簇发放中所蕴含的丰富的发放模式和节律编码.

关 键 词:龙虾心脏神经节模型  簇发放  ISI  加周期分岔
收稿时间:2011-11-30
修稿时间:2012-03-14

Dynamical analysis of lobster model for cardiac ganglion
Wu Huiling and Liu Shenquan. Dynamical analysis of lobster model for cardiac ganglion[J]. Journal of Dynamics and Control, 2012, 10(2): 168-170
Authors:Wu Huiling and Liu Shenquan
Affiliation:Wu Huiling Liu Shenquan(Department of Mathematics, School of Sciences, South China University of Technology, Guangzhou 510640, China)
Abstract:From the study of the cardiac ganglion of the lobster model, this paper made a detailed analysis on the complex bursting produced in it from the perspective of nonlinear dynamics. By discussing the roles of electrophysiological parameters under different cases, the rich dynamical properties are contained in the complex bursting of the cardiac ganglion of the lobster model, such as the InterSpike Intervals(ISIs) is period adding bifurcation and period doubling bifurcation. From the model results, we can get a further understanding of the rich firing patterns and rhythm coding, which are contained in the burst firing of the cardiac ganglion of the lobster.
Keywords:the cardiac ganglion of the lobster model  bursting  ISI  period adding bifurcation
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