In this paper we make a rigorous mathematical analysis of one-dimensional spiking neuron
models in a unified framework. We find that, under conditions satisfied in particular by the …

We describe homotopy classes of self-homeomorphisms of solenoids and Knaster continua.
In particular, we demonstrate that homeomorphisms within one homotopy class have the …

In the context of the Franks–Misiurewicz conjecture, we study homeomorphisms of the two-
torus semiconjugate to an irrational rotation of the circle. As a special case, this conjecture …

Diffeomorphisms of the two torus that are isotopic to the identity have rotation sets that are
convex compact subsets of the plane. We show that certain line segments (including all …

The rotation number for the Schrödinger operator with $$\alpha $$ -norm almost periodic
measures | Mathematische Zeitschrift Skip to main content SpringerLink Account Menu Find a …

We investigate leaky integrate-and-fire models (LIF models for short) driven by Stepanov
and μ-almost periodic functions. Special attention is paid to the properties of the firing map …

The description of almost periodic or quasiperiodic structures has a long tradition in
mathematical physics, in particular since the discovery of quasicrystals in the early 80ʼs …

Les neurosciences computationnelles sont traditionnellement dominées par la conception
selon laquelle les neurones codent l'information à travers leur fréquence de décharge …

We give a characterization of a family of solutions for the cohomological equation using
rotation theory on almost periodic structures solving the semiconjugation problem. Examples …

We extend rotation theory of circle maps to tiling spaces. Specifically, we consider a one-
dimensional tiling space Ω Ω with finite local complexity and study self-maps F that are …