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Single and Multiple Pulse Waves for the FitzHugh–Nagumo
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01789258openalex-snapshot
On travelling wave solutions of the Hodgkin-Huxley equations
inferredcites →https://doi.org/10.1016/0001-8708(78)90075-0openalex-snapshot
Qualitative theory of the FitzHugh-Nagumo equations
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/10.1016/0025-5564(81)90095-xopenalex-snapshot
Traveling waves of infinitely many pulses in nerve equations
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Stably Rotating Patterns of Reaction and Diffusion
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Traveling Wave Solutions of a Nerve Conduction Equation
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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/10.1090/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/10.1093/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/10.1137/0137042openalex-snapshot
The Existence of Solitary Traveling Wave Solutions of a Model of the Belousov-Zhabotinskii Reaction
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
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations
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N-pulse homoclinic orbits in perturbations of resonant hamiltonian systems
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Global bifurcations in the FitzHugh-Nagumo equations for nerve wave propagation
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Local and global behavior near homoclinic orbits
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Homoclinic bifurcation at resonant eigenvalues
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Stability of Traveling Pulses with Oscillatory Tails in the FitzHugh–Nagumo System
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Near-Pulse Solutions of the FitzHugh–Nagumo Equations on Cylindrical Surfaces
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The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System
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Pulse Dynamics in a Three-Component System: Existence Analysis
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Separating Dissipative Pulses: The Exit Manifold
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Multiple pulse homoclinic orbits in a nerve conduction equation
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Travelling wave solutions near isolated double-pulse solitary waves of nerve axon equations
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Nonlinear neural networks: Principles, mechanisms, and architectures
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Nerve pulse transmission: Recovery variable and rate-type effects
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Bifurcation structure of rotating wave solutions of the Fitzhugh-Nagumo equations
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Evans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equations
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Existence and stability of traveling pulse solutions of the FitzHugh–Nagumo equation
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On the “traveling pulses” of the limit of the FitzHugh–Nagumo equation when ɛ→0
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Kinky periodic pulse and interaction of bell wave with kink pulse wave propagation in nerve fibers and wall motion in liquid crystals
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Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines
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Unique wave front for dendritic spines with Nagumo dynamics
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Traveling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis
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Singular perturbation of N-front travelling waves in the Fitzhugh–Nagumo equations
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Exit manifolds for lattice differential equations
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Shilnikov homoclinic orbit bifurcations in the Chua’s circuit
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