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Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations

https://doi.org/10.1007/bf03167885
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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-45455-4_33openalex-snapshot
Wavelike Activity in Biological and Chemical Media
inferredcites →https://doi.org/10.1007/978-3-642-70196-2_12openalex-snapshot
Propagator-Controller Systems and Chemical Patterns
inferredcites →https://doi.org/10.1007/978-3-642-93111-6openalex-snapshot
Mathematical Aspects of Reacting and Diffusing Systems
inferredcites →https://doi.org/10.1007/bf00250432openalex-snapshot
The approach of solutions of nonlinear diffusion equations to travelling front solutions
inferredcites →https://doi.org/10.1007/bf00275838openalex-snapshot
Existence and stability of periodic travelling wave solutions to Nagumo's nerve equation
inferredcites →https://doi.org/10.1007/bf00276548openalex-snapshot
Stability of fast travelling pulse solutions of the FitzHugh?Nagumo equations
inferredcites →https://doi.org/10.1007/bf01008360openalex-snapshot
Understanding the patterns in the BZ reagent
inferredcites →https://doi.org/10.1007/bf01009528openalex-snapshot
Distinctive sites in chemical waves: The spiral core and the collision area of two annuli
inferredcites →https://doi.org/10.1007/bfb0089647openalex-snapshot
Geometric Theory of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1016/0001-8708(76)90098-0openalex-snapshot
On the stability of waves of nonlinear parabolic systems
inferredcites →https://doi.org/10.1016/0022-0396(77)90185-1openalex-snapshot
Weighted norms for the stability of traveling waves
inferredcites →https://doi.org/10.1016/0022-247x(70)90160-5openalex-snapshot
Spectra of perturbed semigroups with applications to transport theory
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(89)90234-0openalex-snapshot
Spiral waves of cyclic amp in a model of slime mold aggregation
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/s0304-0208(08)72327-2openalex-snapshot
Slow Traveling Wave Solutions to the Hodgkin-Huxley Equations
inferredcites →https://doi.org/10.1016/s0304-0208(08)72328-4openalex-snapshot
Traveling Train Solutions of FitzHugh-Nagumo Systems
inferredcites →https://doi.org/10.1021/j100339a047openalex-snapshot
Chemical vortex dynamics in the Belousov-Zhabotinskii reaction and in the two-variable oregonator model
inferredcites →https://doi.org/10.1063/1.440418openalex-snapshot
Target patterns in a realistic model of the Belousov–Zhabotinskii reaction
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0760971-6openalex-snapshot
Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
inferredcites →https://doi.org/10.1093/qmath/27.1.123openalex-snapshot
ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
inferredcites →https://doi.org/10.1109/jrproc.1962.288235openalex-snapshot
An Active Pulse Transmission Line Simulating Nerve Axon
inferredcites →https://doi.org/10.1137/0141011openalex-snapshot
The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System
inferredcites →https://doi.org/10.1137/0146062openalex-snapshot
A Geometrical Theory for Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.1512/iumj.1972.21.21071openalex-snapshot
inferredcites →https://doi.org/10.1512/iumj.1973.22.22009openalex-snapshot
Nerve Axon Equations: II Stability at Rest
inferredcites →https://doi.org/10.1512/iumj.1973.22.22048openalex-snapshot
Nerve Axon Equations: III Stability of the Nerve Impulse
inferredcites →https://doi.org/10.1512/iumj.1975.24.24096openalex-snapshot

What points at this work

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

inferred← citeshttps://doi.org/10.1007/bf00171222openalex-snapshot
A relaxation wave solution of the FitzHugh-Nagumo equations
inferred← citeshttps://doi.org/10.1007/s00332-021-09710-8openalex-snapshot
Near-Pulse Solutions of the FitzHugh–Nagumo Equations on Cylindrical Surfaces
inferred← citeshttps://doi.org/10.1016/j.anihpc.2005.03.003openalex-snapshot
Corner defects in almost planar interface propagation
inferred← citeshttps://doi.org/10.1016/j.ecocom.2014.05.004openalex-snapshot
Dynamic coexistence in a three-species competition–diffusion system
inferred← citeshttps://doi.org/10.1016/j.jde.2023.04.032openalex-snapshot
Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis
inferred← citeshttps://doi.org/10.1016/j.physleta.2009.03.030openalex-snapshot
Two mechanisms of spiral-pair-source creation in excitable media
inferred← citeshttps://doi.org/10.1063/1.166282openalex-snapshot
Nonannihilation dynamics in an exothermic reaction-diffusion system with mono-stable excitability
inferred← citeshttps://doi.org/10.1063/1.5108838openalex-snapshot
Curved surface geometry-induced topological change of an excitable planar wavefront
inferred← citeshttps://doi.org/10.1103/physreve.66.026117openalex-snapshot
Method for detecting the signature of noise-induced structures in spatiotemporal data sets
inferred← citeshttps://doi.org/10.1103/physreve.85.036217openalex-snapshot
Time-periodic lattice of spiral pairs in excitable media
inferred← citeshttps://doi.org/10.1364/ol.24.000578openalex-snapshot
Excitable wave patterns in a spatially extended nonlinear optical cavity
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