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In this thesis we describe a strategy to control robotic knees and ankles. A dynamical system is used to generate a position trajectory to control a servo motor replacing the missing joint. The dynamical system consists in a pool of coupled oscillators mod ...
In the context of metric perturbation theory for nonspinning black holes, extreme mass ratio binary systems are described by distributionally forced master wave equations. Numerical solution of a master wave equation as an initial boundary value problem re ...
We model the dynamics of non-linear discrete (i.e. point-to- point) robot motions as a time-independent system described by an autonomous dynamical system (DS). We propose an iterative algorithm to estimate the form of the DS through a mixture of Gaussian ...
The ability of enterprise managers to come up with the decisions leading to the best outcome for the enterprise is hampered by their cognitive limits in understanding and addressing the dynamic and structural complexities residing in choice situations. Dyn ...
A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C-2 functions u Omega subset of R-2 -> R with orthogonal Hessian in terms of a property named "second order angle condition" as in (1 1) ...
The many-body nature of the ubiquitous spin diffusion phenomenon makes it difficult to predict accurately from first principles. We show how the use of reduced Liouville spaces makes it possible to reproduce experimental proton spin diffusion measurements ...
For a given skew symmetric real n x n matrix N, the bracket X, Y = XNY - YNX defines a Lie algebra structure on the space Sym(n, N) of symmetric n x n real matrices and hence a corresponding Lie-Poisson structure. The purpose of this paper is to inves ...
Various integrable geodesic flows on Lie groups are shown to arise by taking moments of a geodesic Vlasov equation on the group of canonical transformations. This was already known for both the one- and two-component Camassa-Holm systems [18, 19]. The pres ...
La réhabilitation des barrages existants impose généralement une augmentation de leur capacité d’évacuation en crue. Dans de nombreuses situations, le PK-Weir (Piano Key Weir) offre à cet égard une solution compacte et efficace. La conception et la réalisa ...
We studied the dynamics near the boundary between laminar and turbulent dynamics in pipe flow. This boundary contains invariant dynamical states that are attracting when the dynamics is confined to the boundary. These states can be found by controlling a s ...
