Existence and stability of periodic travelling wave solutions to Nagumo's nerve equation
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Publication:1150539
DOI10.1007/BF00275838zbMath0456.92012OpenAlexW2069406986WikidataQ113909252 ScholiaQ113909252MaRDI QIDQ1150539
Publication date: 1980
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00275838
Stability in context of PDEs (35B35) Wave equation (35L05) Physiological, cellular and medical topics (92Cxx)
Related Items (10)
Instability of small-amplitude periodic waves from fold-Hopf bifurcation ⋮ Instability of periodic traveling wave solutions in a modified Fitzhugh-Nagumo model for excitable media ⋮ Branching of double pulse solutions from single pulse solutions in nerve axon equations ⋮ Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations ⋮ Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system ⋮ Near-pulse solutions of the FitzHugh-Nagumo equations on cylindrical surfaces ⋮ Existence of Periodic Solutions of the FitzHugh--Nagumo Equations for an Explicit Range of the Small Parameter ⋮ Inhibitor-induced wavetrains and spiral waves in an extended FitzHugh-Nagumo model of nerve cell dynamics ⋮ Theory of periodic and solitary space charge waves in extrinsic semiconductors ⋮ Rotating spiral waves in excitable media: the analytical results
Cites Work
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- Neutrally stable traveling wave solutions of nerve conduction equations
- A geometric approach to singular perturbation problems with applications to nerve impulse equations
- Stability of periodic travelling wave solutions of a nerve conduction equation
- THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION
- ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
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