Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram
Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram
复制标题
脑电图细观模型中的广泛四维混沌
DOI：
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发表时间：
2015
影响因子：
2.3
通讯作者：
D. Liley
中科院分区：
文献类型：
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作者：
Mathew P. Dafilis;Federico Frascoli;P. Cadusch;D. Liley
背景在之前的工作中（Dafilis 等人，在 Chaos 23(2):023111, 2013）中，提出了 Liley 脑电图细观模型中四维混沌的证据。这项研究仅限于模型方程的一组参数。研究结果在本报告中，我们通过提供将四维混沌行为扩展到生物可接受的参数空间的大面积的证据来扩展该结果。双参数分岔分析强调了这种混沌产生所涉及的动态景观的复杂性。结论在完善的电节律发生生理模型中广泛存在高阶混沌，进一步强调了平均场介观模型在理论、实验和临床水平上描述大脑活动的适用性和相关性。
BackgroundIn a previous work (Dafilis et al. in Chaos 23(2):023111, 2013), evidence was presented for four-dimensional chaos in Liley’s mesoscopic model of the electroencephalogram. The study was limited to one parameter set of the model equations.FindingsIn this report we expand that result by presenting evidence for the extension of four-dimensional chaotic behavior to a large area of the biologically admissible parameter space. A two-parameter bifurcation analysis highlights the complexity of the dynamical landscape involved in the creation of such chaos.ConclusionsThe extensive presence of high-order chaos in a well-established physiological model of electrorhythmogenesis further emphasizes the applicability and relevance of mean field mesoscopic models in the description of brain activity at theoretical, experimental, and clinical levels.
影响因子：
3.7
作者：
Miller, P;Brody, CD;Wang, XJ
通讯作者：
Wang, XJ