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Phase transitions in two-dimensional and geophysical turbulence
A most challenging problem in turbulence is to predict the statistics of flows at the large scales. In the case of the 2D Euler equation and analogous models for... -
Nonlinear analysis methods in neural field models
This thesis deals with mesoscopic models of cortex called neural fields. The neural field equations describe the activity of neuronal populations, with common... -
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
International audience -
Periodic and quasi-periodic motions in the many-body problem
The first half of the present memoir is devoted to KAM theory and \textsc{Arnold}'s theorem for several planets in space, as detailed in one preprint and one... -
Stability Analysis for Discrete Biological Models Using Algebraic Methods
International audience -
Power series analysis as a major breakthrough to improve the efficiency of As...
This paper presents the outcome of power series analysis in the framework of the Asymptotic Numerical Method. We theoretically demonstrate and numerically evidence... -
Algebraic Analysis of Stability and Bifurcation of a Self-assembling Micelle ...
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Weakly coupled two slow- two fast systems, folded node and mixed mode oscilla...
We study Mixed Mode Oscillations (MMOs) in systems of two weakly coupled slow/fast oscillators. We focus on the existence and properties of a folded singularity called... -
Automatic detection of vessel wall contours from cine-MRI for aortic complian...
International audience -
MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS
International audience -
Nonlinear plate vibrations: A modal approach with application to cymbals and ...
International audience -
INVESTIGATION OF TRIPLE PENDULUM WITH IMPACTS USING FUNDAMENTAL SOLUTION MATR...
International audience -
Contribution to the modelling of hyperelastic membranes under large strain
The response of membranes under large strains occurs in several mechanical applications such as biomechanics or forming of hollow plastic parts. The present work deal... -
Modeling and stability of a hybrid current regulator - Application to convert...
This thesis discusses the control of static converter interfaces between fuel cells and associated electrical loads.<br />After establishing the voltage-current... -
Sur la nature de la première bifurcation des écoulements interdisques / On th...
with abridged version in english -
Interaction between the Ekman pumping and the centrifugal instability in Tayl...
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Modelling of landslides as a bifurcation problem
Natural disasters are becoming increasingly more frequent and are causing both human suffering as well as hampering economic development. The forecast of these risks,... -
Singular phenomena in nonlinear elliptic problems. From blow-up boundary solu...
In this survey we report on some recent results related to various singular phenomena arising in the study of some classes of nonlinear elliptic equations. We... -
Bifurcations and symmetry breaking in the wake of axisymmetric bodies
International audience
