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- Centre National de la Recherche ScientifiqueFR397 papers
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6 papers · 2 filters
Symmetric bifurcation analysis of synchronous states of time-delayed coupled Phase-Locked Loop oscillators
Diego Paolo Ferruzzo Correa, Claudia Wulff, Jose Roberto Castilho Piqueira
In recent years there has been an increasing interest in studying time-delayed coupled networks of oscillators since these occur in many real life applications. In many cases symme…
Self-affine sets and the continuity of subadditive pressure
Pablo Shmerkin
The affinity dimension is a number associated to an iterated function system of affine maps, which is fundamental in the study of the fractal dimensions of self-affine sets. De-Jun…
Continuity properties of the lower spectral radius
Jairo Bochi, Ian D. Morris
The lower spectral radius, or joint spectral subradius, of a set of real matrices is defined to be the smallest possible exponential growth rate of long products of ma…
A Huygens principle for diffusion and anomalous diffusion in spatially extended systems
Georg A. Gottwald, Ian Melbourne
We present a universal view on diffusive behaviour in chaotic spatially extended systems for anisotropic and isotropic media. For anisotropic systems, strong chaos leads to diffusi…
Continuation of localised coherent structures in nonlocal neural field equations
James Rankin, Daniele Avitabile, Javier Baladron +2
We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensemble…
Equidistribution from Fractals
Michael Hochman, Pablo Shmerkin
We give a fractal-geometric condition for a measure on [0,1] to be supported on points x that are normal in base n, i.e. such that the sequence x,nx,n^2 x,... equidistributes modul…