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A Global Bifurcation and the Appearance of a One-Dimensional Spiral Wave in Excitable Media
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Target Patterns and Horseshoes from a Perturbed Central‐Force Problem: Some Temporally Periodic Solutions to Reaction‐Diffusion Equations
inferredcites →https://doi.org/10.1006/jtbi.1999.0972openalex-snapshot
The Biphasic Mystery: Why a Biphasic Shock is More Effective than a Monophasic Shock for Defibrillation
inferredcites →https://doi.org/10.1007/978-1-4684-2637-3_8openalex-snapshot
Propagation of action potentials in inhomogeneous axon regions
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/bf00276399openalex-snapshot
One-dimensional ?-? target patterns: Empirical stability tests
inferredcites →https://doi.org/10.1016/0006-8993(76)90255-9openalex-snapshot
Impulses reflected from dorsal root ganglia and from focal nerve injuries
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/10.1016/0022-0396(89)90086-7openalex-snapshot
The stable manifold of the standing wave of the Nagumo equation
inferredcites →https://doi.org/10.1016/0025-5564(94)90075-2openalex-snapshot
Study of propagation along nonuniform excitable fibers
inferredcites →https://doi.org/10.1016/0167-2789(84)90008-3openalex-snapshot
Rotating spiral waves in a modified Fitz-Hugh-Nagumo model
inferredcites →https://doi.org/10.1016/0167-2789(88)90062-0openalex-snapshot
Singular perturbation theory of traveling waves in excitable media (a review)
inferredcites →https://doi.org/10.1016/j.jtbi.2003.11.033openalex-snapshot
The topology of defibrillation
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/s0006-3495(73)86065-5openalex-snapshot
Traveling Wave Solutions of a Nerve Conduction Equation
inferredcites →https://doi.org/10.1016/s0006-3495(74)85947-3openalex-snapshot
Changes of Action Potential Shape and Velocity for Changing Core Conductor Geometry
inferredcites →https://doi.org/10.1016/s0006-3495(81)84782-0openalex-snapshot
Voltage oscillations in the barnacle giant muscle fiber
inferredcites →https://doi.org/10.1016/s0006-3495(93)81233-5openalex-snapshot
Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation
inferredcites →https://doi.org/10.1016/s0022-5193(03)00089-4openalex-snapshot
The effect of spatial scale of resistive inhomogeneity on defibrillation of cardiac tissue
inferredcites →https://doi.org/10.1016/s0022-5193(89)80200-0openalex-snapshot
Electrical instability in cardiac muscle: Phase singularities and rotors
inferredcites →https://doi.org/10.1016/s0167-2789(96)00203-5openalex-snapshot
Initiation of propagation in a one-dimensional excitable medium
inferredcites →https://doi.org/10.1046/j.1540-8167.2003.03042.xopenalex-snapshot
Virtual Electrode‐Induced Positive and Negative Graded Responses:
inferredcites →https://doi.org/10.1063/1.1503941openalex-snapshot
Stability conditions for the traveling pulse: Modifying the restitution hypothesis
inferredcites →https://doi.org/10.1063/1.166286openalex-snapshot
Two forms of spiral-wave reentry in an ionic model of ischemic ventricular myocardium
inferredcites →https://doi.org/10.1063/1.2811674openalex-snapshot
When Time Breaks Down: The Three-Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias
inferredcites →https://doi.org/10.1073/pnas.95.14.8345openalex-snapshot
Synaptic facilitation by reflected action potentials: Enhancement of transmission when nerve impulses reverse direction at axon branch points
inferredcites →https://doi.org/10.1090/qam/445095openalex-snapshot
Perturbation analysis of an approximation to the Hodgkin-Huxley theory
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/10.1103/physreve.66.061903openalex-snapshot
Termination of reentry in an inhomogeneous ring of model cardiac cells
inferredcites →https://doi.org/10.1103/physreve.77.011916openalex-snapshot
Resetting and termination of reentry in a loop-and-tail cardiac model
inferredcites →https://doi.org/10.1103/physrevlett.75.2059openalex-snapshot
Resetting and Annihilation of Reentrant Abnormally Rapid Heartbeat
inferredcites →https://doi.org/10.1109/ire.5547934openalex-snapshot
Proceedings of the Institute of Radio Engineers
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/10.1113/jphysiol.1977.sp011853openalex-snapshot
Reconstruction of the action potential of ventricular myocardial fibres
inferredcites →https://doi.org/10.1137/0150083openalex-snapshot
Calculation of the Threshold Surface for Nerve Equations
inferredcites →https://doi.org/10.1137/030600192openalex-snapshot
Defects in Oscillatory Media: Toward a Classification
inferredcites →https://doi.org/10.1137/0522025openalex-snapshot
Stability Analysis for the Slow Travelling Pulse of the FitzHugh–Nagumo System
inferredcites →https://doi.org/10.1137/s0036139994276793openalex-snapshot
Reflected Waves in an Inhomogeneous Excitable Medium
inferredcites →https://doi.org/10.1161/01.cir.61.1.182openalex-snapshot
Characteristics of reflection as a mechanism of reentrant arrhythmias and its relationship to parasystole.
inferredcites →https://doi.org/10.1161/01.cir.69.1.163openalex-snapshot
Reflected reentry in nonhomogeneous ventricular muscle as a mechanism of cardiac arrhythmias.
inferredcites →https://doi.org/10.1161/01.res.49.1.233openalex-snapshot
Excitation, conduction, and reflection of impulses in isolated bovine and serum cardiac purkinje fibers.
inferredcites →https://doi.org/10.1161/01.res.71.2.260openalex-snapshot
Reflection after delayed excitation in a computer model of a single fiber.
inferredcites →https://doi.org/10.1161/01.res.74.6.1071openalex-snapshot
A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-94-007-4792-0_50openalex-snapshot
Heterogeneity-Induced Pulse Generators
inferred← citeshttps://doi.org/10.1007/s00422-011-0465-3openalex-snapshot
The mechanisms for compression and reflection of cortical waves
inferred← citeshttps://doi.org/10.1016/j.cnsns.2019.105112openalex-snapshot
Formation of spiral wave in Hodgkin-Huxley neuron networks with Gamma-distributed synaptic input
inferred← citeshttps://doi.org/10.1063/1.5094351openalex-snapshot
Simulating waves, chaos and synchronization with a microcontroller
inferred← citeshttps://doi.org/10.1063/5.0059175openalex-snapshot
Noise induced suppression of spiral waves in a hybrid FitzHugh–Nagumo neuron with discontinuous resetting
inferred← citeshttps://doi.org/10.1063/5.0336554openalex-snapshot
A comparison of traveling wave properties in minimal and biophysically detailed models of cardiac tissue using a novel software tool
inferred← citeshttps://doi.org/10.1103/physreve.101.042201openalex-snapshot
Predicting critical ignition in slow-fast excitable models
inferred← citeshttps://doi.org/10.1103/physreve.110.064210openalex-snapshot
Predicting effective quenching of stable pulses in slow-fast excitable media
inferred← citeshttps://doi.org/10.1137/100819229openalex-snapshot
Continuity of Resetting a Pacemaker in an Excitable Medium
inferred← citeshttps://doi.org/10.1137/13091261xopenalex-snapshot
Robust Pulse Generators in an Excitable Medium with Jump-Type Heterogeneity
inferred← citeshttps://doi.org/10.1137/17m1124206openalex-snapshot
An Invariant Winding Number for the FitzHugh--Nagumo System with Applications to Cardiac Dynamics
inferred← citeshttps://doi.org/10.1137/21m1425025openalex-snapshot
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves
inferred← citeshttps://doi.org/10.48550/arxiv.2106.02721openalex-snapshot
Reflections in excitable media linked to existence and stability of one-dimensional spiral waves
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