141 citations · 686 across the 20 of their papers we have counts for
11 papers · 1 filter
Exploring Bifurcations in Bose-Einstein Condensates via Phase Field Crystal Models
Alina B. Steinberg, Fabian Maucher, Svetlana V. Gurevich +1
To facilitate the analysis of pattern formation and of the related phase transitions in Bose-Einstein condensates (BECs) we present an explicit approximate mapping from the nonloca…
Colonies of threaded rings in excitable media
Fabian Maucher, Paul Sutcliffe
A thring is a recent addition to the zoo of spiral wave phenomena found in excitable media and consists of a scroll ring that is threaded by a pair of counter-rotating scroll waves…
Threaded rings that swim in excitable media
Antonio Cincotti, Fabian Maucher, David Evans +6
Cardiac tissue and the Belousov-Zhabotinsky reaction provide two notable examples of excitable media that support scroll waves, in which a filament core is the source of spiral wav…
Dynamics of linked filaments in excitable media
Fabian Maucher, Paul Sutcliffe
In this paper we present the results of parallel numerical computations of the long-term dynamics of linked vortex filaments in a three-dimensional FitzHugh-Nagumo excitable medium…
Rings on strings in excitable media
Fabian Maucher, Paul Sutcliffe
We study the dynamics and interaction of coaxial vortex rings in the FitzHugh-Nagumo excitable medium. We find that threading vortex rings with a vortex string results in significa…
The length of excitable knots
Fabian Maucher, Paul Sutcliffe
The FitzHugh-Nagumo equation provides a simple mathematical model of cardiac tissue as an excitable medium hosting spiral wave vortices. Here we present extensive numerical simulat…
Untangling knots via reaction-diffusion dynamics of vortex strings
Fabian Maucher, Paul Sutcliffe
We introduce and illustrate a new approach to the unknotting problem via the dynamics of vortex strings in a nonlinear partial differential equation of reaction-diffusion type. To…
Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation
F. Maucher, E. Siminos, W. Krolikowski +1
Quasiperiodic oscillations and shape-transformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed in recent years, however, the origin…
Stability of solitary waves in random nonlocal nonlinear media
F. Maucher, W. Krolikowski, S. Skupin
We consider the interplay between nonlocal nonlinearity and randomness for two different nonlinear Schrödinger models. We show that stability of bright solitons in presence of rand…
Azimuthons in weakly nonlinear waveguides of different symmetries
Yiqi Zhang, Stefan Skupin, Fabian Maucher +3
We show that weakly guiding nonlinear waveguides support stable propagation of rotating spatial solitons (azimuthons). We investigate the role of waveguide symmetry on the soliton…
Tracking azimuthons in nonlocal nonlinear media
F. Maucher, D. Buccoliero, S. Skupin +3
We study the formation of azimuthons, i.e., rotating spatial solitons, in media with nonlocal focusing nonlinearity. We show that whole families of these solutions can be found by…