37 citations · 135 across the 30 of their papers we have counts for
6 papers · 1 filter
Observable Optimal State Points of Sub-additive Potentials
Eleonora Catsigeras, Yun Zhao
For a sequence of sub-additive potentials, Dai [Optimal state points of the sub-additive ergodic theorem, Nonlinearity, 24 (2011), 1565-1573] gave a method of choosing state points…
On the Asymptotic Properties of Piecewise Contracting Maps
E. Catsigeras, P. Guiraud, A. Meyroneinc +1
We study the asymptotic dynamics of maps which are piecewise contracting on a compact space. These maps are Lipschitz continuous, with Lipschitz constant smaller than one, when res…
SRB-like measures for C0 dynamics
Eleonora Catsigeras, Heber Enrich
For any continuous map f on a compact manifold M, we define the SRB-like (or observable) probabilities as a generalization of Sinai-Ruelle-Bowen (i.e. physical) measures. We prove…
Deterministic Dynamics and Chaos: Epistemology and Interdisciplinary Methodology
Eleonora Catsigeras
We analyze, from a theoretical viewpoint, the bidirectional interdisciplinary relation between mathematics and psychology, focused on the mathematical theory of deterministic dynam…
Chaos and stability in a model of inhibitory neuronal network
Eleonora Catsigeras
We analyze the dynamics of a deterministic model of inhibitory neuronal networks proving that the discontinuities of the Poincare map produce a never empty chaotic set, while its c…
On Ilyashenko's Statistical Attractors
Eleonora Catsigeras
We define a minimal alpha-observability of Ilyashenko's statistical attractors. We prove that the space is always full Lebesgue decomposable into pairwise disjoint sets that are Le…