31 citations · 133 across the 7 of their papers we have counts for
7 papers
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…
Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity does not violate the Second Law
V. N. Biktashev, M. A. Tsyganov
Solitons, defined as nonlinear waves which can reflect from boundaries or transmit through each other, are found in conservative, fully integrable systems. Similar phenomena, dubbe…
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…
Classification of wave regimes in excitable systems with linear cross-diffusion
M. A. Tsyganov, V. N. Biktashev
We consider principal properties of various wave regimes in two selected excitable systems with linear cross-diffusion in one spatial dimension observed at different parameter valu…
Orbital movement of spiral waves
V. N. Biktashev, D. Barkley, I. V. Biktasheva
Spiral waves in active media react to small perturbations as particle-like objects. Here we apply the asymptotic theory to the interaction of spiral waves with a localized inhomoge…
An analytical approach to initiation of propagating fronts
I. Idris, V. N. Biktashev
We consider the problem of initiation of a propagating wave in a one-dimensional excitable fibre. In the Zeldovich-Frank-Kamenetsky equation, a.k.a. Nagumo equation, the key role i…