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nlin.PS2025
Pattern formation in a Swift-Hohenberg equation with spatially periodic coefficients
Jolien Kamphuis, Martina Chirilus-Bruckner
We study the Swift-Hohenberg equation - a paradigm model for pattern formation - with "large" spatially periodic coefficients and find a Turing bifurcation that generates patterns…
nlin.PS2024
Stability of Breathers for a Periodic Klein-Gordon Equation
Martina Chirilus-Bruckner, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis
The existence of breather type solutions, i.e., periodic in time, exponentially localized in space solutions, is a very unusual feature for continuum, nonlinear wave type equations…