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19992025
most citedSWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies

227 citations

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math.DS2018

Hyperbolicity and bifurcations in holomorphic families of polynomial skew products

Matthieu Astorg, Fabrizio Bianchi

We initiate a parametric study of holomorphic families of polynomial skew products, i.e., polynomial endomorphisms of of the form that exten…

math.DS2016

Proving the existence of numerically detected planar limit cycles

Armengol Gasull, Héctor Giacomini, Maite Grau

This paper deals with the problem of location and existence of limit cycles for real planar polynomial differential systems. We provide a method to construct Poincaré--Bendixson re…

math.DS2014

Oblique repulsion in the nonnegative quadrant

Dominique Lépingle

We consider an electrostatic attractive-repulsive differential system in the nonnegative quadrant. Under some condition on the constants there exists a unique global solution. The…

math.DS2013★ 23 cited

From random Poincaré maps to stochastic mixed-mode-oscillation patterns

Nils Berglund, Barbara Gentz, Christian Kuehn

We quantify the effect of Gaussian white noise on fast--slow dynamical systems with one fast and two slow variables, which display mixed-mode oscillations owing to the presence of…

math.DS2012

On the Hausdorff dimension of Julia sets of some real polynomials

Genadi Levin, Michel Zinsmeister

We show that the supremum for real of the Hausdorff dimension of the Julia set of the polynomial ( is an even natural number) is greater than .

math.DS2011★ 37 cited

Mathematical Modeling of Transport and Degradation of Feedstuffs in the Small Intestine

Masoomeh Taghipoor, Philippe Lescoat, Christine Georgelin +2

We describe a mathematical modeling of the digestion in the small intestine. The main interest of our work is to consider, at the same time, different aspects of the digestion i.e.…