On the public citation graph

Existence and stability of periodic travelling wave solutions to Nagumo's nerve equation

0 signed · 37 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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.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/bf00277150openalex-snapshot

Neutrally stable traveling wave solutions of nerve conduction equations

inferredcites →https://doi.org/10.1007/bf02478516openalex-snapshot

Stability of periodic travelling wave solutions of a nerve conduction equation

inferredcites →https://doi.org/10.1016/0022-0396(77)90116-4openalex-snapshot

A geometric approach to singular perturbation problems with applications to nerve impulse equations

inferredcites →https://doi.org/10.1016/s0006-3495(73)86065-5openalex-snapshot

Traveling Wave Solutions of a Nerve Conduction Equation

inferredcites →https://doi.org/10.1016/s0006-3495(75)85878-4openalex-snapshot

Spatial stability of traveling wave solutions of a nerve conduction equation

inferredcites →https://doi.org/10.1090/surv/011openalex-snapshot

Fixed Points and Topological Degree in Nonlinear Analysis

inferredcites →https://doi.org/10.1093/qmath/25.1.369openalex-snapshot

THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION

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/10.1512/iumj.1975.24.24096openalex-snapshot

inferredcites →https://doi.org/10.3169/itej1954.24.687openalex-snapshot

Biological Engineering

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-1-4613-0117-2_6openalex-snapshot

A Geometric Method for Periodic Orbits in Singularly-Perturbed Systems

inferred← citeshttps://doi.org/10.1007/978-3-319-12316-5_17openalex-snapshot

Spatial Dynamics

inferred← citeshttps://doi.org/10.1007/978-3-642-55711-8_72openalex-snapshot

Stability Analysis for Periodic Solution Waves in Viscous Conservation Laws

inferred← citeshttps://doi.org/10.1007/978-3-642-79506-0_3openalex-snapshot

Space Charge Instabilities and Nonlinear Waves in Extrinsic Semiconductors

inferred← citeshttps://doi.org/10.1007/bf00386602openalex-snapshot

Global bifurcations in the FitzHugh-Nagumo equations for nerve wave propagation

inferred← citeshttps://doi.org/10.1007/bf03167885openalex-snapshot

Stability properties of traveling pulse solutions of the higher dimensional 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/10.1007/s00332-025-10152-9openalex-snapshot

The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System

inferred← citeshttps://doi.org/10.1007/s11538-022-01100-9openalex-snapshot

Inhibitor-Induced Wavetrains and Spiral Waves in an Extended FitzHugh–Nagumo Model of Nerve Cell Dynamics

inferred← citeshttps://doi.org/10.1016/0022-0396(87)90034-9openalex-snapshot

Branching of double pulse solutions from single pulse solutions in nerve axon equations

inferred← citeshttps://doi.org/10.1016/0167-2789(83)90277-4openalex-snapshot

Rotating spiral waves in excitable media: The analytical results

inferred← citeshttps://doi.org/10.1016/0167-2789(91)90014-zopenalex-snapshot

Theory of periodic and solitary space charge waves in extrinsic semiconductors

inferred← citeshttps://doi.org/10.1016/0370-1573(92)90098-kopenalex-snapshot

Pattern formation in excitable media

inferred← citeshttps://doi.org/10.1016/j.amc.2015.01.109openalex-snapshot

Instability of periodic traveling wave solutions in a modified FitzHugh–Nagumo model for excitable media

inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72328-4openalex-snapshot

Traveling Train Solutions of FitzHugh-Nagumo Systems

inferred← citeshttps://doi.org/10.1063/1.4999472openalex-snapshot

Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system

inferred← citeshttps://doi.org/10.1063/5.0106152openalex-snapshot

Instability of small-amplitude periodic waves from fold-Hopf bifurcation

inferred← citeshttps://doi.org/10.1103/physreve.52.2287openalex-snapshot

Multiple responses at the boundaries of the vulnerable window in the Belousov-Zhabotinsky reaction

inferred← citeshttps://doi.org/10.1103/physreve.53.6353openalex-snapshot

Entrainment and termination of reentrant wave propagation in a periodically stimulated ring of excitable media

inferred← citeshttps://doi.org/10.1103/physrevlett.91.208104openalex-snapshot

Spatiotemporal Dynamics of Damped Propagation in Excitable Cardiac Tissue

inferred← citeshttps://doi.org/10.1109/meditec.2016.7835378openalex-snapshot

Bifurcation analysis of periodic action potentials of cardiac excitation in the Aliev-Panfilov model

inferred← citeshttps://doi.org/10.1109/meditec.2016.7835379openalex-snapshot

Bifurcation analysis of periodic action potentials of nerve cells in the FitzHugh-Nagumo model

inferred← citeshttps://doi.org/10.1137/0145044openalex-snapshot

Geometrical Characteristics Associated with Stability and Bifurcations of Periodic Travelling Waves in Reaction-Diffusion Systems

inferred← citeshttps://doi.org/10.1137/0149069openalex-snapshot

Stability of Double-Pulse Solutions in Nerve Axon Equations

inferred← citeshttps://doi.org/10.1137/15m1007707openalex-snapshot

Existence of Periodic Solutions of the FitzHugh--Nagumo Equations for an Explicit Range of the Small Parameter

inferred← citeshttps://doi.org/10.48550/arxiv.1909.06207openalex-snapshot

Rigorous numerics for a singular perturbation problem

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.