Hopf bifurcation in an activator-inhibitor system with network
Hopf bifurcation in an activator-inhibitor system with network
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具有网络的激活剂-抑制剂系统中的 Hopf 分岔
DOI：
10.1016/j.aml.2019.05.033
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发表时间：
2019
影响因子：
3.7
通讯作者：
Tian Canrong
中科院分区：
文献类型：
--
作者：
Shi Yanling;Liu Zuhan;Tian Canrong
引入网络来描述活化剂-抑制剂体系，网络结构代表分子无规行走的运动方向。通过线性稳定性分析，我们证明了激活-抑制系统存在一个Hopf分支。通过中心流形方法的推广，我们还证明了Hopf分支是稳定的，分支方向是向后的。
A network is introduced to describe the activator–inhibitor system, where the network structure represents the movement directions of molecule random walk. We show that a Hopf bifurcation occurs in the activator–inhibitor system by the linear stability analysis. By an extension of the center manifold approach, we also prove that the Hopf bifurcation is stable and its direction is backward.