Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh–Nagumo equation
作者：
Highlights：
• We have analysed a stochastic functional equation, which contains both delayed and advanced arguments.
• We have created a new computational algorithm to approximate this equation, based on the Euler–Maruyama method.
• We have analysed noise induced changes in the dynamical behaviour of equations.
• We observe that a low level of noise is enough to produce a significantly different dynamical behaviour of the solutions.
• We further observe that the effect of noise is much stronger in the region where the solutions change faster.
摘要
•We have analysed a stochastic functional equation, which contains both delayed and advanced arguments.•We have created a new computational algorithm to approximate this equation, based on the Euler–Maruyama method.•We have analysed noise induced changes in the dynamical behaviour of equations.•We observe that a low level of noise is enough to produce a significantly different dynamical behaviour of the solutions.•We further observe that the effect of noise is much stronger in the region where the solutions change faster.
论文关键词：Discrete FitzHugh–Nagumo equation,Stochastic mixed-type functional differential equation,Euler–Maruyama method
论文评审过程：Received 12 June 2014, Revised 11 August 2016, Accepted 19 August 2016, Available online 8 September 2016, Version of Record 8 September 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.08.035
