4 citations · 4 across the 5 of their papers we have counts for
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Propagation reversal for bistable differential equations on trees
Hermen Jan Hupkes, Mia Jukić, Petr Stehlík +1
We study traveling wave solutions to bistable differential equations on infinite -ary trees. These graphs generalize the notion of classical square infinite lattices and our res…
Counting and ordering periodic stationary solutions of lattice Nagumo equations
Hermen Jan Hupkes, Leonardo Morelli, Petr Stehlík +1
We study the rich structure of periodic stationary solutions of Nagumo reaction diffusion equation on lattices. By exploring the relationship with Nagumo equations on cyclic graphs…
Multichromatic travelling waves for lattice Nagumo equations
Hermen Jan Hupkes, Leonardo Morelli, Petr Stehlík +1
We discuss multichromatic front solutions to the bistable Nagumo lattice differential equation. Such fronts connect the stable spatially homogeneous equilibria with spatially heter…