几类具有激励型耦合的低维Logistic模型的多稳定域
Regions of multistability in some low-dimensional logistic models with excitation type coupling
摘要:
最近提出了一种具有激励型耦合的多网络逻辑映射的朴素模型[Neural Networks,vol.20,102- 108(2007)],它是其他低维模型的扩展,用于模拟大脑系统中发现的唤醒-睡眠双稳态。虽然大而复杂的基本成分聚集体的动力学不能被理解,也不能从少数成分的性质推断出来,但某些行为模式可以独立于拓扑结构和耦合单元的数量而保持不变。根据这一认识,我们已经收集了几个这样的系统,其中几个逻辑映射在类似的相互激励方案下耦合。这些系统的双稳定性和多稳定性的区域的草图和报告。
英文摘要:
A naive model of many networked logistic maps with an excitation type coupling [Neural Networks, vol. 20, 102--108 (2007)], which is an extension of other low dimensional models, has been recently proposed to mimic the waking-sleeping bistability found in brain systems. Although the dynamics of large and complex aggregates of elementary components can not be understood nor extrapolated from the properties of a few components, some patterns of behavior could be conserved independently of the topology and of the number of coupled units. Following this insight, we have collected several of those systems where a few logistic maps are coupled under a similar mutual excitation scheme. The regions of bi- and multistability of these systems are sketched and reported.
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