Diversity of traveling wave solutions in FitzHugh–Nagumo type equations

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

Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields

John Guckenheimer, Philip Holmes, Marshall Slemrod · Journal of Applied Mechanics · 1984 · 1.3K citations · Full text

Natural Sciences, Mathematics, Physics +14

Persistence and Smoothness of Invariant Manifolds for Flows

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

Natural Sciences, Mathematics, Dynamical Systems +11