96 citations · 244 across the 21 of their papers we have counts for
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math.DS2020★ 6 cited
Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry
Ross Parker, Björn Sandstede
We consider the existence and spectral stability of periodic multi-pulse solutions in Hamiltonian systems which are translation invariant and reversible, for which the fifth-order…
nlin.PS2020
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…
nlin.PS2020★ 2 cited
Spiral waves: linear and nonlinear theory
Björn Sandstede, Arnd Scheel
Spiral waves are striking self-organized coherent structures that organize spatio-temporal dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptu…