51 citations · 168 across the 26 of their papers we have counts for
4 papers · 1 filter
Rolls and Snaking in a Swift-Hohenberg Equation with Non-smooth Nonlinearity
Lütfiye Masur, Jens D. M. Rademacher
We study rolls and homoclinic snaking in a variation of the one-dimensional Swift-Hohenberg equation, whose standard forms are prototypical order-parameter models for pattern forma…
Numerical Continuation and Bifurcation in Nonlinear PDEs: Stability, invasion and wavetrains in the Swift-Hohenberg equation
David Lloyd, Ryan Goh, Jens D. M. Rademacher
We discuss some aspects of numerical continuation and bifurcation for partial differential equations, specifically pattern formation and coherent structures. For the sake of clarit…
Pulse replication and accumulation of eigenvalues
Paul Carter, Jens D. M. Rademacher, Björn Sandstede
Motivated by pulse-replication phenomena observed in the FitzHugh--Nagumo equation, we investigate traveling pulses whose slow-fast profiles exhibit canard-like transitions. We sho…
First and second order semi-strong interaction in reaction-diffusion systems
Jens D. M. Rademacher
Spatial scale separation often leads to sharp interfaces that can be fully localized pulses or transition layer fronts connecting different states. This paper concerns the asymptot…