On the public citation graph

On the structure of steady solutions for the kinematic model of spiral waves in excitable media

https://doi.org/10.1007/bf03167407
0 signed · 38 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

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/10.1007/bf01008360openalex-snapshot
Understanding the patterns in the BZ reagent
inferredcites →https://doi.org/10.1016/0009-2614(96)00569-6openalex-snapshot
Bifurcation of vortices in the light-sensitive oscillatory Belousov-Zhabotinsky medium
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)90134-uopenalex-snapshot
Kinematical theory of spiral waves in excitable media: Comparison with numerical simulations
inferredcites →https://doi.org/10.1016/0167-2789(91)90197-hopenalex-snapshot
The eikonal equation: stability of reaction-diffusion waves on a sphere
inferredcites →https://doi.org/10.1016/0167-2789(91)90199-jopenalex-snapshot
The role of curvature and wavefront interactions in spiral-wave dynamics
inferredcites →https://doi.org/10.1016/0167-2789(93)90253-wopenalex-snapshot
Dynamics of wave fronts in excitable media
inferredcites →https://doi.org/10.1016/0167-2789(94)90007-8openalex-snapshot
Spirals in liquid crystals in a rotating magnetic field
inferredcites →https://doi.org/10.1016/0167-2789(94)90054-xopenalex-snapshot
Complex dynamics of spiral waves and motion of curves
inferredcites →https://doi.org/10.1016/0167-2789(95)00213-8openalex-snapshot
The eikonal approximation to excitable reaction-diffusion systems: travelling non-planar wave fronts on the plane
inferredcites →https://doi.org/10.1016/0167-2789(96)00042-5openalex-snapshot
Exact solutions for the kinematic model of autowaves in two-dimensional excitable media
inferredcites →https://doi.org/10.1016/0167-2789(96)00145-5openalex-snapshot
Spiral waves on circular and spherical domains of excitable medium
inferredcites →https://doi.org/10.1021/jp962282oopenalex-snapshot
Change of the Shape of a Chemical Vortex Due To a Local Disturbance
inferredcites →https://doi.org/10.1070/pu1991v034n08abeh002462openalex-snapshot
Kinematics of autowave structures in excitable media
inferredcites →https://doi.org/10.1103/physrevlett.77.1174openalex-snapshot
Experimental Determination of the Dispersion Relation for Spiral Waves
inferredcites →https://doi.org/10.1137/0146062openalex-snapshot
A Geometrical Theory for Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.1137/1.9781611970180openalex-snapshot
Dynamics of Internal Layers and Diffusive Interfaces
inferredcites →https://doi.org/10.1142/s0218127491000348openalex-snapshot
A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
inferredcites →https://doi.org/10.2748/tmj/1178224973openalex-snapshot
Shape of spirals

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jmaa.1999.6599openalex-snapshot
A Crystalline Motion of Spiral-Shaped Curves with Symmetry
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/10.1016/j.jde.2004.02.012openalex-snapshot
Multiplicity of rotating spirals under curvature flows with normal tip motion
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.2008.06.001openalex-snapshot
Kinematic model of propagating arc-like segments with feedback
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/j.physd.2026.135159openalex-snapshot
Instability of anchored spirals in geometric flows
inferred← citeshttps://doi.org/10.1017/s1446181100013584openalex-snapshot
The structure of solutions for equations related to the motions of plane curves
inferred← citeshttps://doi.org/10.1051/m2an:1999164openalex-snapshot
Motion of spirals by crystalline curvature
inferred← citeshttps://doi.org/10.1080/03605302.2014.1002928openalex-snapshot
Steady State and Long Time Convergence of Spirals Moving by Forced Mean Curvature Motion
inferred← citeshttps://doi.org/10.1142/9789812706911_0003openalex-snapshot
Spiral wave dynamics: Reaction and diffusion versus kinematics
inferred← citeshttps://doi.org/10.3934/dcdsb.2012.17.933openalex-snapshot
Spiral rotating waves of a geodesic curvature flow on the unit sphere
inferred← citeshttps://doi.org/10.3934/dcdss.2015.8.1009openalex-snapshot
Towards modelling spiral motion of open plane curves
inferred← citeshttps://doi.org/10.48550/arxiv.math/0307394openalex-snapshot
Classification of Steadily Rotating Spiral Waves for the Kinematic Model
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.