Numerical analysis of bump solutions for neural field equations with periodic microstructure

作者：

Highlights：

• Frameworks for studying nonexistence of y-dependent solutions using a bumps width technique.

• Frameworks for studying nonexistence of y-dependent solutions using iteration schemes and two-scale convergence technique.

• Frameworks for studying and constructing of single bump solutions of homogenized equation.

摘要

•Frameworks for studying nonexistence of y-dependent solutions using a bumps width technique.•Frameworks for studying nonexistence of y-dependent solutions using iteration schemes and two-scale convergence technique.•Frameworks for studying and constructing of single bump solutions of homogenized equation.

论文关键词：Rate equations in neuroscience,Periodic,Homogenization

论文评审过程：Received 23 June 2014, Accepted 11 March 2015, Available online 9 April 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.03.058