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Some stability and bifurcation issues for viscous solids
This PhD thesis is composed essentially of two main parts, of unequal sizes, which are summarized as follows: Part I: It is concerned with stability and bifurcation... -
Contributions to the prediction of structural and material instabilities: cri...
The research work presented in this manuscript is divided into three parts. The first is concerned with the modeling of material instabilities in metallic materials... -
The rolling transition in a granular flow along a rotating wall
[Departement_IRSTEA]Eaux [TR1_IRSTEA]RIVAGE -
Financial Crisis Dynamics: Attempt to Define a Market Instability Indicator
International audience -
Reaction-diffusion equations and some applications to Biology
In Chapter 1 we model calcium ions and some proteins inside a moving dendritic spine (a microstructure the neuron). We propose two models, one with diffusing proteins... -
Vibrations of post-buckled rods: the singular inextensible limit
International audience -
Penser le changement dans les territoires post-socialistes : approche concept...
Journée des doctorants de l'UMR IDEES-CNRS 6266 -
Periodic and quasiperiodic vortex shedding in the wake of a rotating sphere
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Compass-Like Biped Robot Part I : Stability and Bifurcation of Passive Gaits
It is well-known that a suitably designed unpowered mechanical biped robot can «walk» down an inclined plane with a steady gait. The characteristics of the gait (e.g.,... -
A Simple Approach for Multiple Singular Points
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A practical method for the evaluation of eigenfunctions from compound matrix ...
International audience -
On the plastic bifurcation and post-bifurcation of axially compressed beams
International audience -
Numerical study of axisymetric-bodies freely falling in Newtonian fluids
The manuscript presents a numerical study of non-vertical trajectories of bodies fallingor rising freely in a Newtonian fluid initially at rest. The original numerical... -
Bifurcation and synchronization in parametrically forced systems
In this thesis, we propose a N-dimensional coupled discrete-time system whose parameters are forced into periodic varying, the N-dimensional system being constructed... -
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
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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...
