Attractors in continuous and Boolean networks.
Attractors in continuous and Boolean networks.
复制标题
连续网络和布尔网络中的吸引子。
DOI：
10.1103/physreve.76.046122
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
J. Socolar
中科院分区：
文献类型：
--
作者：
J. Norrell;B. Samuelsson;J. Socolar
我们研究了一类连续动力系统的稳定吸引子，这些系统可以理想化为布尔元素的网络，目标是确定哪些布尔吸引子（如果有的话）是通用连续系统吸引子的良好近似。我们研究了简单环和具有一个附加自输入的环中的动力学。开关特性和脉冲传播的分析解释了连续系统的吸引子和它们的布尔近似之间的关系。对于简单环，“可靠”的布尔吸引子对应于稳定的连续吸引子。对于具有更复杂逻辑的网络，连续吸引子的定性特征受到开关事件固有的非布尔特征的影响。
We study the stable attractors of a class of continuous dynamical systems that may be idealized as networks of Boolean elements, with the goal of determining which Boolean attractors, if any, are good approximations of the attractors of generic continuous systems. We investigate the dynamics in simple rings and rings with one additional self-input. An analysis of switching characteristics and pulse propagation explains the relation between attractors of the continuous systems and their Boolean approximations. For simple rings, "reliable" Boolean attractors correspond to stable continuous attractors. For networks with more complex logic, the qualitative features of continuous attractors are influenced by inherently non-Boolean characteristics of switching events.