2 citations · 3 across the 7 of their papers we have counts for
Showing 2003Show all
4 papers · 1 filter
nlin.PS2003
Existence of travelling waves in discrete sine-Gordon rings
Guy Katriel
We prove existence results for travelling waves in discrete, damped, dc-driven sine-Gordon equations with periodic boundary conditions.
nlin.AO2003
Synchronization in model networks of class I neurons
Guy Katriel
We study a modification of the canonical model for networks of class I neurons, presented by Hoppensteadt and Izhikevich, in which the 'pulse' emitted by a neuron is smooth rather…
math.CA2003★ 2 cited
From Rolle's theorem to the Sturm-Hurwitz theorem
Guy Katriel
We present a proof of the Sturm-Hurwitz theorem, using basic calculus.
nlin.PS2003
Stability of synchronized oscillations in networks of phase-oscillators
Guy Katriel
We derive simple conditions for the stability or instability of the synchronized oscillation of a class of networks of coupled phase-oscillators, which includes many of the systems…