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Existence of Traveling Wave Trains in Nerve Axon 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/10.1007/978-3-642-46480-5_4openalex-snapshot
Traveling Waves with Finitely Many Pulses in a Nerve Equation
inferredcites →https://doi.org/10.1016/0001-8708(70)90023-xopenalex-snapshot
Nagumo's equation
inferredcites →https://doi.org/10.1016/0016-0032(56)91150-4openalex-snapshot
Theory of ordinary differential equations
inferredcites →https://doi.org/10.1016/0025-5564(81)90095-xopenalex-snapshot
Traveling waves of infinitely many pulses in nerve equations
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6044-1openalex-snapshot
Differential Equations, Dynamical Systems, and Linear Algebra
inferredcites →https://doi.org/10.1070/sm1970v010n01abeh001588openalex-snapshot
A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
inferredcites →https://doi.org/10.1109/jrproc.1962.288235openalex-snapshot
An Active Pulse Transmission Line Simulating Nerve Axon
inferredcites →https://doi.org/10.1137/0142016openalex-snapshot
Double Impulse Solutions in Nerve Axon Equations
inferredcites →https://doi.org/10.1137/0142017openalex-snapshot
Existence and Stability of Multiple Impulse Solutions of a Nerve Equation
inferredcites →https://doi.org/10.1137/0142018openalex-snapshot
Single and Multiple Pulse Waves for the FitzHugh–Nagumo
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/bf00386602openalex-snapshot
Global bifurcations in the FitzHugh-Nagumo equations for nerve wave propagation
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90285-9openalex-snapshot
Homoclinic orbits in a parametrized saddle-focus system
inferred← citeshttps://doi.org/10.1016/0370-1573(92)90098-kopenalex-snapshot
Pattern formation in excitable media
inferred← citeshttps://doi.org/10.1016/j.jde.2017.02.020openalex-snapshot
Evans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equations
inferred← citeshttps://doi.org/10.1016/j.jde.2022.06.019openalex-snapshot
Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry
inferred← citeshttps://doi.org/10.1016/s1874-575x(10)00316-4openalex-snapshot
Homoclinic and Heteroclinic Bifurcations in Vector Fields
inferred← citeshttps://doi.org/10.1090/s0002-9947-98-01673-0openalex-snapshot
Stability of multiple-pulse solutions
inferred← citeshttps://doi.org/10.1103/physrevlett.61.496openalex-snapshot
Spatiotemporal Complexity in Traveling Patterns
inferred← citeshttps://doi.org/10.1137/0150029openalex-snapshot
Patterns of Propagating Pulses
inferred← citeshttps://doi.org/10.1137/0152011openalex-snapshot
Rotating Chemical Waves in the Gray–Scott Model
inferred← citeshttps://doi.org/10.11948/2016037openalex-snapshot
EVANS FUNCTIONS AND BIFURCATIONS OF STANDING WAVE FRONTS OF A NONLINEAR SYSTEM OF REACTION DIFFUSION EQUATIONS
inferred← citeshttps://doi.org/10.4208/aam.v32.n1.p79openalex-snapshot
Evans Functions and Instability of a Standing Pulse Solution of a Nonlinear System of Reaction Diffusion Equations
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