Travelling Patterns on Discrete Media
Abstract
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.
Lattice differential equationsPartial differential equationsReaction diffusion equationTravelling wavesNonlinear algebraic equationsGlobal center manifoldWave collisionsGraph differential equationsPeriodic solutions
