542 citations
- Centre National de la Recherche ScientifiqueFR98 papers
- Normandie UniversitéFR61 papers
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7 papers · 1 filter
Normal forms for x-flat two-input control-affine systems in dimension five
Florentina Nicolau, Conrad Gstöttner, Witold Respondek
In this paper, we give normal forms for flat two-input control-affine systems in dimension five that admit a flat output depending on the state only (we call systems with that prop…
Van der Corput inequality for real line and Wiener-Wintner theorem for amenable groups
el Houcein el Abdalaoui
We extend the classical van der Corput inequality to the real line. As a consequence, we obtain a simple proof of the Wiener-Wintner theorem for the -action which asser…
Product of two staircase rank one transformations that is not loosely Bernoulli
Adam Kanigowski, Thierry De La Rue
We construct two staircase rank one transformations whose Cartesian product is not loosely Bernoulli.
A cubic nonconventional ergodic average with Möbius and Liouville weight
El Houcein El Abdalaoui, Xiangdong Ye
It is shown that the cubic nonconventional ergodic average of order 2 with Möbius and Liouville weight converge almost surely to zero. As a consequence, we obtain that the Cesàro m…
Topological analysis of chaotic solution of three-element memristive circuit
Jean-Marc Ginoux, Christophe Letellier, Leon L. O. Chua
The simplest electronic circuit with a memristor was recently proposed. Chaotic attractors solution to this memristive circuit are topologically characterized and compared to Rossl…
Flow curvature manifolds for shaping chaotic attractors: Rossler-like systems
Jean-Marc Ginoux, Christophe Letellier
Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine…