Gómez-Gardeñes J, Moreno Y, Floría L M
Departamento de Física de la Materia Condensada, Instituto de Biocomputación y Física de Sistemas Complejos BIFI, C.S.I.C.-Universidad de Zaragoza, 50009 Zaragoza, Spain.
Chaos. 2006 Mar;16(1):015114. doi: 10.1063/1.2146115.
A simple model of activatory-inhibitory interactions controlling the activity of agents (substrates) through a "saturated response" dynamical rule in a scale-free network is thoroughly studied. After discussing the most remarkable dynamical features of the model, namely fragmentation and multistability, we present a characterization of the temporal (periodic and chaotic) fluctuations of the quasi-stasis asymptotic states of network activity. The double (both structural and dynamical) source of entangled complexity of the system temporal fluctuations, as an important partial aspect of the correlation structure-function problem, is further discussed in light of the numerical results, with a view on potential applications of these general results.
深入研究了一个简单的激活-抑制相互作用模型,该模型通过无标度网络中的“饱和响应”动力学规则来控制主体(底物)的活性。在讨论了该模型最显著的动力学特征,即碎片化和多稳态之后,我们给出了网络活动准静态渐近状态的时间(周期性和混沌性)波动的特征描述。作为相关结构-功能问题的一个重要局部方面,系统时间波动纠缠复杂性的双重(结构和动力学)来源,根据数值结果进一步进行了讨论,并着眼于这些一般结果的潜在应用。