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Including eigenvalues of the plane Orr-Sommerfeld problem

Peter P. Klein (1993)

Applications of Mathematics

In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory originating from Donnelly [2] was applied to the plane Orr-Sommerfeld problem in the case of a pure Poiseuile flow. In this paper the same method will be used to deal Poiseuile and Couette flow. Potter [6] has treated this case before with an approximative method.

Incompressibilité des feuilles de germes de feuilletages holomorphes singuliers

David Marín, Jean-François Mattei (2008)

Annales scientifiques de l'École Normale Supérieure

Nous considérons un germe de feuilletage holomorphe singulier non-dicritique défini sur une boule fermée 𝔹 ¯ 2 , satisfaisant des hypothèses génériques, de courbe de séparatrice S . Nous démontrons l’existence d’un voisinage ouvert U de S dans 𝔹 ¯ tel que, pour toute feuille L de | ( U S ) , l’inclusion naturelle ı : L U S induit un monomorphisme ı * : π 1 ( L ) π 1 ( U S ) au niveau du groupe fondamental. Pour cela, nous introduisons la notion géométrique de « connexité feuilletée » avec laquelle nous réinterprétons la notion d’incompressibilité....

Indecision in Neural Decision Making Models

J. Milton, P. Naik, C. Chan, S. A. Campbell (2010)

Mathematical Modelling of Natural Phenomena

Computational models for human decision making are typically based on the properties of bistable dynamical systems where each attractor represents a different decision. A limitation of these models is that they do not readily account for the fragilities of human decision making, such as “choking under pressure”, indecisiveness and the role of past experiences on current decision making. Here we examine the dynamics of a model of two interacting neural populations with mutual time–delayed inhibition....

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