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nlin.PSJan 1, 2010
15
citations (OpenAlex)
authors
  • A. J. Foulkes
  • V. N. Biktashev
institutions
  • University of Liverpool
arXiv abstractPDF
paper

Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference

arXiv:1001.4454 · doi:10.1103/PhysRevE.81.046702

Abstract

We describe an approach to numerical simulation of spiral waves dynamics of large spatial extent, using small computational grids.

15 pages, 14 figures, as accepted by Phys Rev E 2010/03/27

References in corpus (2)

  • Theory of spiral wave dynamics in weakly excitable media: asymptotic reduction to a kinematic model and applications
  • Spiral wave drift in an electric field and scroll wave instabilities

Cited by in corpus (10)

  • Classification of wave regimes in excitable systems with linear cross-diffusion
  • A collective coordinate framework to study the dynamics of travelling waves in stochastic partial differential equations
  • A Huygens principle for diffusion and anomalous diffusion in spatially extended systems
  • Unstable Spiral Waves and Local Euclidean Symmetry in a Model of Cardiac Tissue
  • Semi-analytical approach to criteria for ignition of excitation waves
  • Robust Approach for Rotor Mapping in Cardiac Tissue
  • Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model
  • A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves
  • Filament tension and phase-locked drift of meandering scroll waves
  • Strength-Duration Relationship in an Excitable Medium
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