Concept
Marginal stability
Publications associées (34)
Three-dimensional Rayleigh–Taylor instability under a unidirectional curved substrate
François Gallaire, Gioele Mariano Nicolò Balestra, Nicolas Igor Jacques Kofman, Pierre-Thomas Paul Brun
We investigate the Rayleigh–Taylor instability of a thin liquid film coated on the inside of a cylinder whose axis is orthogonal to gravity. We are interested in the effects of geometry on the instability, and contrast our results with the classical case o ...
2017Sensitivity of stochastic perturbations in a noise amplifier flow
François Gallaire, Edouard Boujo
It is a well-known fact that small-amplitude perturbations can be amplified in globally stable flows due to non-normal mechanisms. This leads in the time domain to the transient growth of some initial disturbances, and in the frequency domain to the amplif ...
2014Constant-yield control of continuous bioreactors
The process of anaerobic digestion is a common application in the treatment of industrial and communal wastewater treatment plants. The biochemical reactions taking place inside the fermenter can be described by a system of first order differential equatio ...
Elsevier Science Sa2013Multistability of twisted states in non-locally coupled Kuramoto-type models
A ring of N identical phase oscillators with interactions between L-nearest neighbors is considered, where L ranges from 1 (local coupling) to N/2 (global coupling). The coupling function is a simple sinusoid, as in the Kuramoto model, but with a minus sig ...
2012On stable self-similar blow up for equivariant wave maps: The linearized problem
We consider co-rotational wave maps from (3+1) Minkowski space into the three-sphere. This is an energy supercritical model which is known to exhibit finite time blow up via self-similar solutions. The ground state self-similar solution is known in c ...
2012MPC for tracking periodic reference signals
Colin Neil Jones, Melanie Nicole Zeilinger
This paper is devoted to the design of a predictive controller for constrained linear systems to track periodic references. The only assumption on the dynamics of the reference is that it is periodic and its period is known. It is also assumed that the ref ...
2012Mesoscale and clusters of synchrony in networks of bursting neurons
We study the role of network architecture in the formation of synchronous clusters in synaptically coupled networks of bursting neurons. We give a simple combinatorial algorithm that finds the largest synchronous clusters from the network topology. We demo ...
2011Robust stability properties of soft constrained MPC
Colin Neil Jones, Melanie Nicole Zeilinger
In Model Predictive Control, the enforcement of hard state constraints can be overly conservative or even infeasible, especially in the presence of disturbances. This work presents a soft constrained MPC approach that provides closed- loop stability even f ...
IEEE2010