230 citations · 1.5k across the 33 of their papers we have counts for
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Asymptotic dynamics of reflecting spiral waves
Jacob Langham, Irina Biktasheva, Dwight Barkley
Resonantly forced spiral waves in excitable media drift in straight-line paths, their rotation centers behaving as point-like objects moving along trajectories with a constant velo…
Non-specular reflections in a macroscopic system with wave-particle duality: spiral waves in bounded media
Jacob Langham, Dwight Barkley
Spiral waves in excitable media possess both wave-like and particle-like properties. When resonantly forced (forced at the spiral rotation frequency) spiral cores travel along stra…
Alternative Stable Scroll Waves and Conversion of Autowave Turbulence
Andrew J. Foulkes, Dwight Barkley, Vadim N. Biktashev +1
Rotating spiral and scroll waves (vortices) are investigated in the FitzHugh-Nagumo model of excitable media. The focus is on a parameter region in which there exists bistability b…
Computation of the Drift Velocity of Spiral Waves using Response Functions
I. V. Biktasheva, A. J. Foulkes, D. Barkley +1
Rotating spiral waves are a form of self-organization observed in spatially extended systems of physical, chemical, and biological nature. In the presence of a small perturbation,…
Computation of the response functions of spiral waves in active media
I. V. Biktasheva, D. Barkley, V. N. Biktashev +2
Rotating spiral waves are a form of self-organization observed in spatially extended systems of physical, chemical, and biological nature. A small perturbation causes gradual chang…
Computation of Spiral Spectra
P. Wheeler, D. Barkley
A computational linear stability analysis of spiral waves in a reaction-diffusion equation is performed on large disks. As the disk radius R increases, eigenvalue spectra converge…