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Neutrally stable traveling wave solutions of nerve conduction equations
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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/bf00275800openalex-snapshot
On FitzHugh's nerve axon equations
inferredcites →https://doi.org/10.1007/bfb0070595openalex-snapshot
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
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/s0006-3495(66)86679-1openalex-snapshot
Digital Computer Solutions for Excitation and Propagation of the Nerve Impulse
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/qam/445095openalex-snapshot
Perturbation analysis of an approximation to the Hodgkin-Huxley theory
inferredcites →https://doi.org/10.1093/qmath/25.1.369openalex-snapshot
THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION
inferredcites →https://doi.org/10.1098/rspb.1967.0013openalex-snapshot
The frequency of nerve action potentials generated by applied currents
inferredcites →https://doi.org/10.1109/jrproc.1962.288235openalex-snapshot
An Active Pulse Transmission Line Simulating Nerve Axon
inferredcites →https://doi.org/10.1113/jphysiol.1952.sp004764openalex-snapshot
A quantitative description of membrane current and its application to conduction and excitation in nerve
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
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Population Models and Community Structure in Heterogeneous Environments
inferred← citeshttps://doi.org/10.1007/978-3-642-71927-1_5openalex-snapshot
Stability of Transverse Spatial Structures
inferred← citeshttps://doi.org/10.1007/bf00275838openalex-snapshot
Existence and stability of periodic travelling wave solutions to Nagumo's nerve equation
inferred← citeshttps://doi.org/10.1007/bf00825924openalex-snapshot
A variational principle of the Hamilton type of nonlinear phenomena of combined transfer
inferred← citeshttps://doi.org/10.1007/bfb0077849openalex-snapshot
Nerve signaling and spatial stability of wave trains
inferred← citeshttps://doi.org/10.1007/bfb0087336openalex-snapshot
Nonlinear diffusion equations in biology
inferred← citeshttps://doi.org/10.1007/s00033-016-0686-3openalex-snapshot
Exact solutions for logistic reaction–diffusion equations in biology
inferred← citeshttps://doi.org/10.1016/0022-247x(78)90227-5openalex-snapshot
Nonlinear reaction-diffusion models for interacting populations
inferred← citeshttps://doi.org/10.1016/b978-0-12-681904-5.50007-3openalex-snapshot
Stably Rotating Patterns of Reaction and Diffusion
inferred← citeshttps://doi.org/10.1016/j.aml.2022.108151openalex-snapshot
Exact time-dependent solutions of a Fisher–KPP-like equation obtained with nonclassical symmetry analysis
inferred← citeshttps://doi.org/10.1016/s0168-2024(08)70022-5openalex-snapshot
Chapter 7 Oscillations and Wave Front Propagation
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)71227-1openalex-snapshot
Chapter III The Mathematics of Excitation
inferred← citeshttps://doi.org/10.1088/0031-8949/20/3-4/014openalex-snapshot
Coupled Solitary Waves in Neurophysics
inferred← citeshttps://doi.org/10.1090/qam/613952openalex-snapshot
Stable small-amplitude solutions in reaction-diffusion systems
inferred← citeshttps://doi.org/10.1090/s0002-9904-1978-14502-9openalex-snapshot
Asymptotic states for equations of reaction and diffusion
inferred← citeshttps://doi.org/10.1103/physreve.96.022303openalex-snapshot
Emergence of localized patterns in globally coupled networks of relaxation oscillators with heterogeneous connectivity
inferred← citeshttps://doi.org/10.1137/0142015openalex-snapshot
Threshold Phenomena and Solitary Traveling Waves in a Class of Reaction-Diffusion Systems
inferred← citeshttps://doi.org/10.1137/100809866openalex-snapshot
Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh–Nagumo Type
inferred← citeshttps://doi.org/10.3390/sym11020208openalex-snapshot
Nonclassical Symmetry Solutions for Non-Autonomous Reaction-Diffusion Equations
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