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Lyapunov functions : a weak KAM approach
This thesis is divided into three parts. In the first part, we give a new description of chain-recurrence using an ultrametric barrier. This barrier allows to endow... -
Problems of linearization in some families of analytic germs.
We are interested in the linearization of some families of analytic germs. By generalizing definitions and properties of transfinite diameter, we obtain a polynomial... -
Extreme values of random or chaotic discretization steps
URL des Documents de travail : http://ces.univ-paris1.fr/cesdp/cesdp2012.html An article based on this working paper is accepted in Journal of Applied Mathematical Sciences -
Probabilistic sources: from sequences to systems
This monograph synthesizes several studies in average-case analysis of algorithms and in computational biology. Several works, spanning from the study of problems on... -
L'intercompréhension humain-système: Phénoménologie, Enaction et Systèmes Dyn...
Ce chapitre aborde l'intercompréhension entre les humains et les programmes sous le regard de la phénoménologie et de l'énaction. Il relate des expériences... -
Partially hyperbolic diffeomorphisms with a compact center foliation with fin...
The thesis classifies partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy. Under the further assumption of a one-dimensional... -
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... -
Eigenvalues of cellular automata
We investigate properties of one-dimensional cellular automata. This category of cellular automata has been widely studied but many questions are still open. Among... -
Probability density of the wavelet coefficients of a noisy chaos
URL des Documents de travail : http://ces.univ-paris1.fr/cesdp/cesdp2013.html -
APPLICATION OF THE FREQUENCY MAP ANALYSIS METHOD IN GALACTIC DYNAMICS
We study the well-known logarithmic galactic potential through the frequency map analysis method of Laskar in order to deepen our knowledge regarding the dynamics of... -
Study of Schistosomiasis transmission models: Mathematical analysis, states r...
The aim of this thesis is the mathematical analysis and the estimation of the parameters of some metapopulation models for bilharzia transmission. We explain how the... -
Dos and Don'ts in Augmentative Biological Control: Insights from Mathematical...
This thesis presents the mathematical analysis of models in augmentative biological control, from which practical guidelines are the derived. Biological control... -
Size structured mathematical models of zooplankton
version non finale -
L'apport des logiciels libres à la modélisation et la simulation des systèmes...
Cet article aborde l'apport des logiciels libres à la modélisation et la simulation des systèmes dynamiques. L'indépendance de la méthode de modélisation vis à vis des... -
On the synchronization and desynchronization of dynamical systems. Applications
This thesis deals with the synchronization and desynchronization of dynamical systems. In a first part we tackle (under a biological viewpoint) the desynchronization... -
Hamiltonian dynamics and relaxation phenomena: from a mean field model to mag...
In this thesis, we begin by investigating a mean field hamiltonian model, exhibiting exactly solvable statistical properties, which in turn allow one to predict the... -
Modélisation dynamique de la signalisation cellulaire : aspects différentiels...
Cell signaling contains the whole biological mecanisms allowing the response of a cell to its microenvironnement in an adapted way. Many extremely intertwinned... -
l'algorithmique: la fouille de données et l'arithmétique
This thesis deals with two main algorithmical domains: Data Mining and Arithmetical computations. In both, we are interested in the average-case analysis of...
