Travelling Patterns on Discrete Media

Leonardo Morelli · Leiden Repository (Leiden University) · 2014

This thesis describes how complex and real-world relevant analytical solutions can be found starting from a simple Nagumo problem posed on one or two-dimensional lattices. In Chapters 2 and 3 we will discuss solutions with periodic asymptotic values, where different types of fronts can be combined. In Chapter 4 we will discuss the existence of planar defect solutions, where we analyse travelling fronts possessing corners.

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