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51.
Neural firing patterns are investigated by using symbolic dynamics.
Bifurcation behaviour of the Hindmarsh--Rose (HR) neuronal model is
simulated with the external stimuli gradually decreasing, and various
firing activities with different topological structures are orderly
numbered. Through constructing first-return maps of interspike
intervals, all firing patterns are described and identified by
symbolic expressions. On the basis of ordering rules of symbolic
sequences, the corresponding relation between parameters and firing
patterns is established, which will be helpful for encoding neural
information. Moreover, using the operation rule of $\ast$ product,
generation mechanisms and intrinsic configurations of periodic
patterns can be distinguished in detail. Results show that the
symbolic approach is a powerful tool to study neural firing
activities. In particular, such a coarse-grained way can be
generalized in neural electrophysiological experiments to extract
much valuable information from complicated experimental data. 相似文献
52.
Introduction Thecomplexdynamicphenomenainvibro impactsystemshaveattractedscholar’sclose concernformanyyears.ShawandWhiston[1-4]madealotofworksonsingle degree of freedomvibro impactsystemsandgottheexistenceofcomplexdynamicalbehaviorsinthis kindofsystem.LiandJin[5,6]maderesearchontheexistenceandthestabilityofperiodic motionsoftwo degree of freedomvibro impactsystems,andobtainedanalyticalresultson existencecriteriaandstabilityanalysisofsingleimpactperiod nsubharmonicmotions.Stronge[7]investigat… 相似文献
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THEEXISTENCEOFPERIODICSOLUTIONSFORACLASSOFFUNCTIONALDIFFERENTIALEQUATIONSANDTHEIRAPPLICATIONZhaoJie-min(赵杰民);HuangKe-lei(黄克累)... 相似文献
58.
Inhibitory coupled bursting Hindmarsh-Rose neurons are considered as constitutive units of the Macaque cortical network. In the absence of information transmission delay the bursting activity is desynchronized,giving rise to spatiotemporally disordered dynamics. This paper shows that the introduction of finite delays can lead to the synchronization of bursting and thus to the emergence of coherent propagating fronts of excitation in the space-time domain. Moreover,it shows that the type of synchronous bursting is uniquely determined by the delay length,with the transitions from one type to the other occurring in a step-like manner depending on the delay. Interestingly,as the delay is tuned close to the transition points,the synchronization deteriorates,which implies the coexistence of different bursting attractors. These phenomena can be observed by different but fixed coupling strengths,thus indicating a new role for information transmission delays in realistic neuronal networks. 相似文献
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结构力学的动态不稳定性 总被引:3,自引:0,他引:3
在本回顾性文章中,作者着重论述在结构的稳定性和超临界行为中需要采用动力学方法进行分析的问题.它们包括以下的动态不稳定性:(1)参数激励振动;(2)在冲击载荷下的结构响应;(3)空气-弹性和流体-弹性诱发的动态不稳定性;(4)在所谓随动力作用下的结构响应;(5)输气或输液管道的不稳定性;(6)转子由于转动摩擦或有关因素引起的不稳定性;(7)旋涡诱发的不稳定性;(8)构件的断裂作为一类动态不稳定性.本文的重点放在早期发展历史、开拓性的研究和基本概念,尤其是那些在过去产生过争论但至今在某些方面仍有启发性的题材.与此同时,还讨论一些新近结果和未来研究展望. 相似文献
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