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The geometry and motion of reaction-diffusion waves on closed two-dimensional manifolds
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Shock Waves and Reaction—Diffusion Equations
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The Belousov-Zhabotinskii Reaction
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The Geometry of Biological Time
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Partial Differential Equations and Related Topics
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Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
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Geometric Theory of Semilinear Parabolic Equations
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A geometric approach to singular perturbation problems with applications to nerve impulse equations
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Singular filaments organize chemical waves in three dimensions
inferredcites →https://doi.org/10.1016/0167-2789(86)90007-2openalex-snapshot
Spiral waves in the Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1016/0375-9474(67)90589-1openalex-snapshot
Tables of integrals, series and products
inferredcites →https://doi.org/10.1109/jrproc.1962.288235openalex-snapshot
An Active Pulse Transmission Line Simulating Nerve Axon
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Tables of Integrals, Series, and Products
inferredcites →https://doi.org/10.1137/0146062openalex-snapshot
A Geometrical Theory for Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.2307/2153347openalex-snapshot
Table of Integrals, Series, and Products.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Three-Dimensional Waves in Excitable Reaction-Diffusion Systems: the Eikonal Approximation
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Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations
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Three-dimensional waves in excitable reaction-diffusion systems
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Single and double rotor spiral waves on spherical surfaces
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Reaction-diffusion waves in the vicinity of obstacles: The eikonal approach
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One-way blocks in excitable media
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The eikonal equation and meandering of spiral waves: A geometrical approach
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Spiral waves on static and moving spherical domains
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Diffraction of reaction-diffusion waves: the conformal-mapped eikonal equation
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Spiral waves on the sphere for an alloy electrodeposition model
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Spiral wave behaviors in an excitable reaction-diffusion system on a sphere
inferred← citeshttps://doi.org/10.1021/jp952512jopenalex-snapshot
Rotating Chemical Waves on the Sphere
inferred← citeshttps://doi.org/10.1038/339609a0openalex-snapshot
Chemical waves on spherical surfaces
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Scroll waves in spherical shell geometries
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Spiral wave dynamics in excitable media with spherical geometries
inferred← citeshttps://doi.org/10.1090/mmono/140openalex-snapshot
Traveling Wave Solutions of Parabolic Systems
inferred← citeshttps://doi.org/10.1098/rspa.1991.0040openalex-snapshot
A geometrical approach to wave-type solutions of excitable reaction-diffusion systems
inferred← citeshttps://doi.org/10.1098/rspa.1995.0035openalex-snapshot
The geometry and motion of sharp fronts within geochemical transport problems
inferred← citeshttps://doi.org/10.1098/rspa.1996.0021openalex-snapshot
The dynamics and stability of cubic autocatalytic chemical waves in three-dimensional systems
inferred← citeshttps://doi.org/10.1098/rspa.1996.0147openalex-snapshot
Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction—diffusion systems
inferred← citeshttps://doi.org/10.1098/rspa.2002.0997openalex-snapshot
Knotted reaction—diffusion waves
inferred← citeshttps://doi.org/10.1103/2j5b-fj6dopenalex-snapshot
Curvature effects in the reaction-diffusion system governing frontal polymerization
inferred← citeshttps://doi.org/10.1103/physreve.54.4338openalex-snapshot
Nonspiral excitation waves beyond the eikonal approximation
inferred← citeshttps://doi.org/10.1103/physreve.56.3913openalex-snapshot
Reaction-diffusion equations on a sphere: Meandering of spiral waves
inferred← citeshttps://doi.org/10.1103/physrevlett.78.745openalex-snapshot
Excitation Waves on Cylindrical Surfaces: Rotor Competition and Vortex Drift
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Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
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Waves and Patterns on Regular Graphs
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Reaction-Diffusion System in a Curved Space and the KPZ Equation
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Вязкостное пальцеобразование в условиях сверхкритической флюидной экстракции
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Analytical and Numerical Results for a Curvature-Driven Geometric Flow Rule
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