Displaying similar documents to “Neurons: a numerical approach.”

Generalized Induction of Kazhdan-Lusztig cells

Jérémie Guilhot (2009)

Annales de l’institut Fourier

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Following Lusztig, we consider a Coxeter group W together with a weight function. Geck showed that the Kazhdan-Lusztig cells of W are compatible with parabolic subgroups. In this paper, we generalize this argument to some subsets of W which may not be parabolic subgroups. We obtain two applications: we show that under specific technical conditions on the parameters, the cells of certain parabolic subgroups of W are cells in the whole group, and we decompose the affine Weyl group of type...

Robust coordination control of switching multi-agent systems via output regulation approach

Xiaoli Wang, Fengling Han (2011)

Kybernetika

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In this paper, the distributed output regulation problem of uncertain multi-agent systems with switching interconnection topologies is considered. All the agents will track or reject the signals generated by an exosystem (or an active leader). A systematic distributed design approach is proposed to handle output regulation via dynamic output feedback with the help of canonical internal model. With common solutions of regulator equations and Lyapunov functions, the distributed robust...

Mathematical modeling of antigenicity for HIV dynamics

François Dubois, Hervé V.J. Le Meur, Claude Reiss (2010)

MathematicS In Action

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This contribution is devoted to a new model of HIV multiplication motivated by the patent of one of the authors. We take into account the antigenic diversity through what we define “antigenicity”, whether of the virus or of the adapted lymphocytes. We model the interaction of the immune system and the viral strains by two processes. On the one hand, the presence of a given viral quasi-species generates antigenically adapted lymphocytes. On the other hand, the lymphocytes kill only viruses...

Transmission-line laser modeling of carrier diffusion in VCSEL

Vladimir Gerasik, Jacek Miloszewski, Marek S. Wartak (2014)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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The transmission-line laser model (TLLM) is an equivalent-circuit model which provides stable and explicit matrix routines for the solution of the laser rate equations. The application of TLLM method to the analysis of a vertical-cavity surface-emitting laser (VCSEL) requires certain modifications. The theoretical basis of the model is considered, including space discretization of the inhomogeneous VCSEL cavity so that it yields the synchronization condition. The main attention is paid...