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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 ...
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On the plastic bifurcation and post-bifurcation of axially compressed beams
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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
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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...
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MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS
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Nonlinear plate vibrations: A modal approach with application to cymbals and ...
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INVESTIGATION OF TRIPLE PENDULUM WITH IMPACTS USING FUNDAMENTAL SOLUTION MATR...
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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...
