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Kinematic approach to the description of autowave processes in active media
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1016/0167-2789(83)90277-4openalex-snapshot
Rotating spiral waves in excitable media: The analytical results
inferredcites →https://doi.org/10.26456/vtpmk629openalex-snapshot
Asymptotic expansions of solutions of singularly perturbed equations
inferredcites →https://doi.org/10.3367/ufnr.0128.197908c.0625openalex-snapshot
Autowave processes in distributed kinetic systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-1-4899-3683-7_14openalex-snapshot
Kinematics of Wave Patterns in Excitable Media
inferred← citeshttps://doi.org/10.1007/978-94-011-1156-0_4openalex-snapshot
Spiral Waves in Weakly Excitable Media
inferred← citeshttps://doi.org/10.1007/bf01038930openalex-snapshot
A twisted vortex in an excitable medium
inferred← citeshttps://doi.org/10.1007/bf01043605openalex-snapshot
Drift and resonance of helical waves in distributed active media
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90101-topenalex-snapshot
A cellular automaton model of excitable media
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90102-uopenalex-snapshot
A cellular automaton model of excitable media
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90134-uopenalex-snapshot
Kinematical theory of spiral waves in excitable media: Comparison with numerical simulations
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90195-fopenalex-snapshot
Kinematics of spiral waves on nonuniformly curved surfaces
inferred← citeshttps://doi.org/10.1016/0167-2789(94)90054-xopenalex-snapshot
Complex dynamics of spiral waves and motion of curves
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00310-xopenalex-snapshot
Use of V-shaped stable patterns to study high negative curvature-velocity dependence of an excitable medium
inferred← citeshttps://doi.org/10.1016/0167-2789(96)00042-5openalex-snapshot
Exact solutions for the kinematic model of autowaves in two-dimensional excitable media
inferred← citeshttps://doi.org/10.1016/0375-9601(95)00024-wopenalex-snapshot
Non-spiral autowave structures in unrestricted excitable media
inferred← citeshttps://doi.org/10.1016/0960-0779(93)e0049-hopenalex-snapshot
Three-dimensional kinematics
inferred← citeshttps://doi.org/10.1016/j.physd.2004.09.002openalex-snapshot
Classification of steady solutions of the full kinematic model
inferred← citeshttps://doi.org/10.1016/j.physd.2019.132215openalex-snapshot
Traveling and standing fronts on curved surfaces
inferred← citeshttps://doi.org/10.1016/j.physleta.2007.03.007openalex-snapshot
Compensation of curvature effects by illumination
inferred← citeshttps://doi.org/10.1016/j.pneurobio.2004.10.003openalex-snapshot
A computational perspective on migraine aura
inferred← citeshttps://doi.org/10.1016/s0167-2789(98)00182-1openalex-snapshot
Spiral wave behaviors in an excitable reaction-diffusion system on a sphere
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00130-4openalex-snapshot
Ring-shaped autowaves on curved surfaces
inferred← citeshttps://doi.org/10.1016/s0375-9601(03)01148-4openalex-snapshot
Dependence of the spiral rotation frequency on the surface curvature of reaction–diffusion systems
inferred← citeshttps://doi.org/10.1038/339609a0openalex-snapshot
Chemical waves on spherical surfaces
inferred← citeshttps://doi.org/10.1063/1.1406537openalex-snapshot
Scroll waves in spherical shell geometries
inferred← citeshttps://doi.org/10.1063/1.1623623openalex-snapshot
Fabrication of quasi-two-dimensional, heterogeneously curved Belousov–Zhabotinsky systems
inferred← citeshttps://doi.org/10.1063/1.2346237openalex-snapshot
Spiral wave dynamics in excitable media with spherical geometries
inferred← citeshttps://doi.org/10.1063/1.5108838openalex-snapshot
Curved surface geometry-induced topological change of an excitable planar wavefront
inferred← citeshttps://doi.org/10.1063/5.0020906openalex-snapshot
Geographic tongue as a reaction–diffusion system
inferred← citeshttps://doi.org/10.1088/0305-4470/32/46/304openalex-snapshot
Travelling waves and static structures in a two-dimensional exactly solvable reaction-diffusion system
inferred← citeshttps://doi.org/10.1093/cercor/bhad243openalex-snapshot
Geodesic theory of long association fibers arrangement in the human fetal cortex
inferred← citeshttps://doi.org/10.1101/2023.01.29.526048openalex-snapshot
Geodesic theory of long association fibers guidance on the human fetal cortex
inferred← citeshttps://doi.org/10.1103/physreve.54.1958openalex-snapshot
Propagation of waves through a line of discontinuity in two-dimensional excitable media: Refraction and reflection of autowaves
inferred← citeshttps://doi.org/10.1103/physreve.54.4338openalex-snapshot
Nonspiral excitation waves beyond the eikonal approximation
inferred← citeshttps://doi.org/10.1103/physreve.66.036207openalex-snapshot
Excitation fronts in a spatially modulated light-sensitive Belousov-Zhabotinsky system
inferred← citeshttps://doi.org/10.1103/physreve.70.066213openalex-snapshot
Dynamics of excitation pulses with attractive interaction: Kinematic analysis and chemical wave experiments
inferred← citeshttps://doi.org/10.1103/physrevlett.78.745openalex-snapshot
Excitation Waves on Cylindrical Surfaces: Rotor Competition and Vortex Drift
inferred← citeshttps://doi.org/10.1103/physrevlett.85.868openalex-snapshot
Excitation Fronts on a Periodically Modulated Curved Surface
inferred← citeshttps://doi.org/10.1111/j.1749-6632.1990.tb15082.xopenalex-snapshot
Spiral Waves in Two‐dimensional Excitable Media
inferred← citeshttps://doi.org/10.1134/1.558731openalex-snapshot
Diffusive Toda chains in models of nonlinear waves in active media
inferred← citeshttps://doi.org/10.1134/1.567364openalex-snapshot
On a class of exactly solvable models of autowaves in active media with diffusion
inferred← citeshttps://doi.org/10.1137/1032001openalex-snapshot
Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
inferred← citeshttps://doi.org/10.1137/s0036139997325497openalex-snapshot
On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
inferred← citeshttps://doi.org/10.1143/jpsj.64.1501openalex-snapshot
Reaction-Diffusion System in a Curved Space and the KPZ Equation
inferred← citeshttps://doi.org/10.1209/epl/i2002-00200-6openalex-snapshot
Critical properties of excitation waves on curved surfaces: Curvature-dependent loss of excitability
inferred← citeshttps://doi.org/10.48550/arxiv.math/0307394openalex-snapshot
Classification of Steadily Rotating Spiral Waves for the Kinematic Model
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