...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Mathematical Biology >Traveling waves in non-local pulse-coupled networks
【24h】

Traveling waves in non-local pulse-coupled networks

机译：在非本地脉冲耦合网络中行驶波

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Traveling phase waves are commonly observed in recordings of the cerebral cortex and are believed to organize behavior across different areas of the brain. We use this as motivation to analyze a one-dimensional network of phase oscillators that are nonlocally coupled via the phase response curve (PRC) and the Dirac delta function. Existence of waves is proven and the dispersion relation is computed. Using the theory of distributions enables us to write and solve an associated stability problem. First and second order perturbation theory is applied to get analytic insight and we show that long waves are stable while short waves are unstable. We apply the results to PRCs that come from mitral neurons. We extend the results to smooth pulse-like coupling by reducing the nonlocal equation to a local one and solving the associated boundary value problem.
机译：行波相波通常在大脑皮层的记录中观察到，并被认为可以组织大脑不同区域的行为。我们以此为动机来分析通过相位响应曲线（PRC）和狄拉克δ函数非局部耦合的一维相位振荡器网络。证明了波的存在，并计算了色散关系。利用分布理论，我们可以编写并解决相关的稳定性问题。应用一阶和二阶微扰理论得到了解析解，我们证明了长波是稳定的，而短波是不稳定的。我们将结果应用于来自二尖瓣神经元的PRC。通过将非局部方程化为局部方程，并求解相关的边值问题，我们将结果推广到平滑类脉冲耦合。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号