66 citations · 228 across the 12 of their papers we have counts for
7 papers · 1 filter
A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves
Hans Dierckx, Alexander V. Panfilov, Henri Verschelde +2
In many oscillatory or excitable systems, dynamical patterns emerge which are stationary or periodic up in a moving frame of reference. Examples include traveling waves or spiral w…
Filament tension and phase-locked drift of meandering scroll waves
Hans Dierckx, Irina V. Biktasheva, Henri Verschelde +2
Rotating scroll waves are self-organising patterns which are found in many oscillating or excitable systems. Here we show that quasi-periodic (meandering) scroll waves, which inclu…
Variational principle for non-linear wave propagation in dissipative systems
Hans Dierckx, Henri Verschelde
The dynamics of many natural systems is dominated by non-linear waves propagating through the medium. We show that the dynamics of non-linear wave fronts with positive surface tens…
Spiral wave chimeras in locally coupled oscillator systems
Bing-Wei Li, Hans Dierckx
The recently discovered chimera state involves the coexistence of synchronized and desynchronized states for a group of identical oscillators. This fascinating chimera state has un…
Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations
I. V. Biktasheva, H. Dierckx, V. N. Biktashev
A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behaviour is affected by the layer geometry. We identify the effect of sharp variations…
Chiral selection and frequency response of spiral waves in reaction-diffusion systems under a chiral electric field
Bing-Wei Li, Mei-Chun Cai, Hong Zhang +2
Chirality is one of the most fundamental properties of many physical, chemical and biological systems. However, the mechanisms underlying the onset and control of chiral symmetry a…
Buckling of scroll waves
Hans Dierckx, Henri Verschelde, Ozgur Selsil +1
A scroll wave in a sufficiently thin layer of an excitable medium with negative filament tension can be stable nevertheless due to filament rigidity. Above a certain critical thick…