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The averaged control system of fast oscillating control systems
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Bounded control of an underactuated biomimetic aerial vehicle - Validation wi...
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Recursive estimation of the conditional geometric median in Hilbert spaces
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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... -
An averaging technique for highly-oscillatory Hamiltonian problems
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A formal series approach to averaging: exponentially small error estimates
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A gyro-gauge independent minimal guiding-center reduction by Lie-transforming...
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MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS
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The Averaging Homotopy
Classical averaging is an asymptotic theory in the sense that it con- siders the problem of finding a limit for a sequence of differential systems. We present here... -
Sensorless control of synchronous permanent magnet motors by signal injection
This thesis addresses the problematic of sensorless low speed operation of permanent magnet synchronous motors (PMSM) by signal injection. We focus on the effects of... -
Averaging and deterministic optimal control
On considère un problème de contrôle optimal, déterministe dont la dynamique dépend de phénomènes "rapides", modélisés sous la forme d'un temps rapide t/epsilon ,... -
Multi-revolution composition methods for highly oscillatory differential equa...
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A multiscale study of stochastic spatially-extended conductance-based models ...
The purpose of the present thesis is the mathematical study of probabilistic models for the generation and propagation of an action potential in neurons and more... -
Is the Use of Averaging in Advice Taking Modulated by Culture?
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Higher-order averaging, formal series and numerical integration III: error bo...
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Superconvergence of Strang splitting for NLS in $T^d$
In this paper we investigate the convergence properties of semi-discretized approximations by Strang splitting method applied to fast-oscillating nonlinear... -
Dimension reduction for anisotropic Bose-Einstein condensates in the strong i...
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