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The Core of the Spiral

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-70196-2_12openalex-snapshot
Propagator-Controller Systems and Chemical Patterns
inferredcites →https://doi.org/10.1016/0001-8708(70)90023-xopenalex-snapshot
Nagumo's equation
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/10.1016/0167-2789(86)90007-2openalex-snapshot
Spiral waves in the Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1016/0167-2789(88)90062-0openalex-snapshot
Singular perturbation theory of traveling waves in excitable media (a review)
inferredcites →https://doi.org/10.1016/0167-2789(91)90093-oopenalex-snapshot
Wave front interaction in steadily rotating spirals
inferredcites →https://doi.org/10.1016/0167-2789(91)90168-9openalex-snapshot
Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit
inferredcites →https://doi.org/10.1016/0167-2789(91)90202-kopenalex-snapshot
Alternative stable rotors in an excitable medium
inferredcites →https://doi.org/10.1016/0167-2789(94)90056-6openalex-snapshot
Symmetric spirals in media with relaxation kinetics and two diffusing species
inferredcites →https://doi.org/10.1016/s0006-3495(61)86902-6openalex-snapshot
Impulses and Physiological States in Theoretical Models of Nerve Membrane
inferredcites →https://doi.org/10.1016/s0006-3495(73)86065-5openalex-snapshot
Traveling Wave Solutions of a Nerve Conduction Equation
inferredcites →https://doi.org/10.1063/1.165844openalex-snapshot
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
inferredcites →https://doi.org/10.1103/physrevlett.60.1880openalex-snapshot
Model for spiral wave formation in excitable media
inferredcites →https://doi.org/10.1103/physrevlett.68.397openalex-snapshot
Scaling regime of spiral wave propagation in single-diffusive media
inferredcites →https://doi.org/10.1103/physrevlett.68.401openalex-snapshot
Spiral core in singly diffusive excitable media
inferredcites →https://doi.org/10.1137/0130022openalex-snapshot
Periodic Solutions to Reaction-Diffusion Equations
inferredcites →https://doi.org/10.1137/0146062openalex-snapshot
A Geometrical Theory for Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.1137/0149031openalex-snapshot
Diffusive Effects on Dispersion in Excitable Media

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-031-83217-8_6openalex-snapshot
Wave Propagation in Excitable Systems
inferred← citeshttps://doi.org/10.1007/978-3-662-05281-5_2openalex-snapshot
Spatio-Temporal Dynamics of Reaction-Diffusion Patterns
inferred← citeshttps://doi.org/10.1007/978-94-011-1156-0_5openalex-snapshot
Spiral Meandering
inferred← citeshttps://doi.org/10.1007/bf03167495openalex-snapshot
On the steadily rotating spirals
inferred← citeshttps://doi.org/10.1007/s10231-004-0145-1openalex-snapshot
Rotating spirals of curvature flows: a center manifold approach
inferred← citeshttps://doi.org/10.1007/s11538-019-00623-yopenalex-snapshot
Dynamics of Pivoting Electrical Waves in a Cardiac Tissue Model
inferred← citeshttps://doi.org/10.1016/0009-2614(96)00569-6openalex-snapshot
Bifurcation of vortices in the light-sensitive oscillatory Belousov-Zhabotinsky medium
inferred← citeshttps://doi.org/10.1016/0167-2789(94)90056-6openalex-snapshot
Symmetric spirals in media with relaxation kinetics and two diffusing species
inferred← citeshttps://doi.org/10.1016/0167-2789(94)90060-4openalex-snapshot
Theory of the spiral core in excitable media
inferred← citeshttps://doi.org/10.1016/0167-2789(94)90228-3openalex-snapshot
Theory of pulse instabilities in electrophysiological models of excitable tissues
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00113-iopenalex-snapshot
Drift of spiral waves in excitable media
inferred← citeshttps://doi.org/10.1016/0370-1573(92)90098-kopenalex-snapshot
Pattern formation in excitable media
inferred← citeshttps://doi.org/10.1016/j.chaos.2023.114317openalex-snapshot
Spiral waves in fractal dimensions and their elimination in λ − ω systems with less damaging intervention
inferred← citeshttps://doi.org/10.1016/j.physd.2004.08.028openalex-snapshot
Self-similar solutions for the kinematic model equation of spiral waves
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.2014.03.007openalex-snapshot
The effect of boundaries on the asymptotic wavenumber of spiral wave solutions of the complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.physd.2020.132657openalex-snapshot
Curvature effect on asymptotic profiles of spiral curves
inferred← citeshttps://doi.org/10.1016/s0167-2789(98)00143-2openalex-snapshot
Order parameter equations for front transitions: Nonuniformly curved fronts
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/10.1021/jp962282oopenalex-snapshot
Change of the Shape of a Chemical Vortex Due To a Local Disturbance
inferred← citeshttps://doi.org/10.1063/1.1494875openalex-snapshot
Cookbook asymptotics for spiral and scroll waves in excitable media
inferred← citeshttps://doi.org/10.1063/1.165844openalex-snapshot
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
inferred← citeshttps://doi.org/10.1063/1.166023openalex-snapshot
A dynamical systems approach to spiral wave dynamics
inferred← citeshttps://doi.org/10.1088/0305-4470/30/12/014openalex-snapshot
Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models
inferred← citeshttps://doi.org/10.1103/physreva.46.5054openalex-snapshot
Symmetry-breaking bifurcations in one-dimensional excitable media
inferred← citeshttps://doi.org/10.1103/physreve.50.r2395openalex-snapshot
Boundary-induced drift of spirals in excitable media
inferred← citeshttps://doi.org/10.1103/physreve.51.r3827openalex-snapshot
Frequency selection of spiral waves in liquid crystals
inferred← citeshttps://doi.org/10.1103/physreve.66.036214openalex-snapshot
Large-excitability asymptotics for scroll waves in three-dimensional excitable media
inferred← citeshttps://doi.org/10.1103/physrevlett.70.2182openalex-snapshot
Instabilities of a propagating pulse in a ring of excitable media
inferred← citeshttps://doi.org/10.1103/physrevlett.71.1103openalex-snapshot
Spiral breakup in model equations of action potential propagation in cardiac tissue
inferred← citeshttps://doi.org/10.1137/1034001openalex-snapshot
The Dynamics of Scroll Waves in Excitable Media
inferred← citeshttps://doi.org/10.1142/9789812706911_0003openalex-snapshot
Spiral wave dynamics: Reaction and diffusion versus kinematics
inferred← citeshttps://doi.org/10.3934/dcdsb.2012.17.1605openalex-snapshot
The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems
inferred← citeshttps://doi.org/10.3934/dcdsb.2012.17.933openalex-snapshot
Spiral rotating waves of a geodesic curvature flow on the unit sphere
inferred← citeshttps://doi.org/10.48550/arxiv.math/0307394openalex-snapshot
Classification of Steadily Rotating Spiral Waves for the Kinematic Model
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