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Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram

机译:脑电图的介观模型中的广泛的四维混沌

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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.
机译:背景技术在先前的工作中(Dafilis等人,Chaos 23(2):023111,2013年),在莉莉的脑电图介观模型中提供了关于四维混沌的证据。这项研究仅限于模型方程组的一个参数集。发现在本报告中,我们通过提供证据证明将四维混沌行为扩展到生物可容许参数空间的较大区域,从而扩展了该结果。两参数分叉分析突显了此类混沌产生过程中所涉及的动力学环境的复杂性。结论高阶混沌在完善的电心律生理模型中的广泛存在进一步强调了平均场介观模型在这种情况下的适用性和相关性。在理论,实验和临床水平上对大脑活动的描述。

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