552 citations · 1.7k across the 8 of their papers we have counts for
8 papers
An algorithm for distributed time delay identification based on a mixed Erlang kernel approximation and the linear chain trick
Tobias K. S. Ritschel, John Wyller
Time delays are ubiquitous in industry and nature, and they significantly affect both transient dynamics and stability properties. Consequently, it is often necessary to identify a…
On wellposedness of generalized neural field equations with delay
Evgenii Burlakov, Evgeny Zhukovskiy, Arcady Ponosov +1
We obtain conditions for existence of unique global or maximally extended solutions to generalized neural field equations. We also study continuous dependence of these solutions on…
Iterative Schemes for Bump Solutions in a Neural Field Model
Anna Oleynik, Arcady Ponosov, John Wyller
We develop two iteration schemes for construction of localized stationary solutions (bumps) of a one-population Wilson-Cowan model with a smoothed Heaviside firing rate function. T…
Nonlocal incoherent solitons
Wieslaw Krolikowski, Ole Bang, John Wyller
We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evol…
Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media
W. Krolikowski, O. Bang, N. I. Nikolov +4
We present an overview of recent advances in the understanding of optical beams in nonlinear media with a spatially nonlocal nonlinear response. We discuss the impact of nonlocalit…
Collapse arrest and soliton stabilization in nonlocal nonlinear media
Ole Bang, Wieslaw Krolikowski, John Wyller +1
We investigate the properties of localized waves in systems governed by nonlocal nonlinear Schrodinger type equations. We prove rigorously by bounding the Hamiltonian that nonlocal…