标题： 双稳态大脑：具有共生相互作用的神经元模型 显示英文标题

标题： The bistable brain: a neuronal model with symbiotic interactions

摘要： 一般来说，大型和复杂的初级组分集合体的行为不能从少数组分的性质来理解和外推。 大脑是这种网络化系统的良好例子，在这类系统中，观察到了一些独立于拓扑结构和耦合单元数量的行为模式。 基于这一见解，我们研究了根据特定的{\it 共生的}耦合方案的不同逻辑映射聚合的动力学，该方案模仿了神经兴奋性耦合。 所有这些聚合体都表现出一些共同的动力学特性，具体来说是一种双稳态行为，这里对此进行了详细的报告。 因此，通过许多这样的网络化逻辑映射的幼稚模型，暗示了与神经系统的定性关系，其行为模仿了脑系统所展示的清醒-睡眠双稳态。 由于其重要性，确定并绘制了所有这些逻辑模型的多稳态区域。 显示英文摘要

摘要： In general, the behavior of large and complex aggregates of elementary components can not be understood nor extrapolated from the properties of a few components. The brain is a good example of this type of networked systems where some patterns of behavior are observed independently of the topology and of the number of coupled units. Following this insight, we have studied the dynamics of different aggregates of logistic maps according to a particular {\it symbiotic} coupling scheme that imitates the neuronal excitation coupling. All these aggregates show some common dynamical properties, concretely a bistable behavior that is reported here with a certain detail. Thus, the qualitative relationship with neural systems is suggested through a naive model of many of such networked logistic maps whose behavior mimics the waking-sleeping bistability displayed by brain systems. Due to its relevance, some regions of multistability are determined and sketched for all these logistic models.