1 citations · 1 across the 4 of their papers we have counts for
11 papers
Dissipative bright and dark pulses under periodic forcing
Lukas Bengel, Björn de Rijk
We analyze the existence and stability of bright and dark pulses in a damped nonlinear Schrödinger (NLS) equation with periodic forcing. This Lugiato-Lefever equation is a canonica…
Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations
Emile Bukieda, Björn de Rijk
We investigate the stability and asymptotic behavior of spatially periodic cnoidal waves in the Korteweg-de Vries equation subject to localized perturbations. Standard stability ar…
Selection of pushed pattern-forming fronts in the FitzHugh-Nagumo system
Montie Avery, Paul Carter, Björn de Rijk
We establish nonlinear stability of fronts that describe the creation of a periodic pattern through the invasion of an unstable state. Our results concern pushed fronts, that is, f…
Stability of coherent pattern formation through invasion in the FitzHugh-Nagumo system
Montie Avery, Paul Carter, Björn de Rijk +1
We establish sharp nonlinear stability results for fronts that describe the creation of a periodic pattern through the invasion of an unstable state. The fronts we consider are cri…
Orbital stability of plane waves in the Klein-Gordon equation against localized perturbations
Emile Bukieda, Louis Garénaux, Björn de Rijk
We investigate the stability and long-term behavior of spatially periodic plane waves in the complex Klein-Gordon equation under localized perturbations. Such perturbations render…
Stability and dynamics of planar fronts in reaction-diffusion systems under nonlocalized perturbations
Björn de Rijk, Joris van Winden
We analyze the stability and dynamics of bistable planar fronts in multicomponent reaction-diffusion systems on . Under standard spectral stability assumptions, we…