Universiteit Leiden

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Dissertation

Travelling patterns on Discrete Media

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.

Author
Morelli, L.
Date
25 June 2019
Links
Thesis in Leiden Repository

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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