Scroll waves in isotropic excitable media: Linear instabilities, bifurcations, and restabilized states
From MaRDI portal
Publication:2903441
DOI10.1103/PhysRevE.65.046235zbMath1244.35071arXivcond-mat/0201467WikidataQ74077346 ScholiaQ74077346MaRDI QIDQ2903441
Publication date: 9 August 2012
Published in: Physical Review E (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0201467
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)
Related Items (9)
A geometric theory for scroll wave filaments in anisotropic excitable media ⋮ Negative tension of scroll wave filaments and turbulence in three-dimensional excitable media and application in cardiac dynamics ⋮ LOCALIZATION OF RESPONSE FUNCTIONS OF SPIRAL WAVES IN THE FITZHUGH–NAGUMO SYSTEM ⋮ Exact coherent structures and chaotic dynamics in a model of cardiac tissue ⋮ Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation ⋮ (INVITED) Reaction-diffusion waves in cardiovascular diseases ⋮ Three-dimensional lattice Boltzmann model for the complex Ginzburg-Landau equation ⋮ A theory for spiral wave drift in reaction-diffusion-mechanics systems ⋮ Negative filament tension in the Luo-Rudy model of cardiac tissue
Cites Work
- The dynamics of scroll wave filaments in the complex Ginzburg-Landau equation
- The dynamics of three-dimensional scroll waves in excitable media
- An efficient method for computing leading eigenvalues and eigenvectors of large asymmetric matrices
- DNA and differential geometry
- Helical organizing centers in excitable media
- Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
- Filament instability and rotational tissue anisotropy: A numerical study using detailed cardiac models
- Decomposition of the linking number of a closed ribbon: A problem from molecular biology
- Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
- Fast Simulations of Waves in Three-Dimensional Excitable Media
- Self-Linking and the Gauss Integral in Higher Dimensions
- Tension of organizing filaments of scroll waves
This page was built for publication: Scroll waves in isotropic excitable media: Linear instabilities, bifurcations, and restabilized states
