Traveling pulses of coupled FitzHugh-Nagumo equations with doubly-diffusive effect

Impulses and Physiological States in Theoretical Models of Nerve Membrane

Richard Fitzhugh · Biophysical Journal · 1961 · 6.3K citations

Natural Sciences, Biophysics, Physiology +16

An Active Pulse Transmission Line Simulating Nerve Axon

J. Nagumo, S. Arimoto, S. Yoshizawa · Proceedings of the IRE · 1962 · 4.2K citations

Engineering, Bioengineering, Electrical Engineering +15

Geometric singular perturbation theory for ordinary differential equations

Neil Fenichel · Journal of Differential Equations · 1979 · 2.4K citations

Natural Sciences, Mathematics, Physics +13

Persistence and Smoothness of Invariant Manifolds for Flows

Neil Fenichel · Indiana University Mathematics Journal · 1971 · 1.1K citations

Natural Sciences, Mathematics, Dynamical Systems +11

Stability of the travelling wave solution of the FitzHugh-Nagumo system

Christopher K. R. T. Jones · Transactions of the American Mathematical Society · 1984 · 338 citations

Natural Sciences, Mathematics, Differential Equations +15