Capturing time-varying brain dynamics

Characterization of Time-varying Human Operator Dynamics

Dynamics Control by a Time-varying Feedback

We consider a smooth bracket generating control-affine system in Rd and show that any orientation preserving diffeomorphism of Rd can be approximated, in the very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state variables and trigonometricpolynomial with respect to the time variable .

The Dynamics of Time-Varying Threshold Learning

A mathematical theory of the dynamics of a class of trainable signal detectors is described. Among the constructs yielded by the theory are learning curves and variance curves. A learning curve is a curve of correct-decision probability versus training length. A variance curve is a curve of the variance of correct-decision probability versus training length. The class of trainable signal detect...

Time varying grids for gas dynamics

In the context of offshore oil production, we are interested in accurate and fast computation of two-phase flows in pipelines. A one dimensional model of hyperbolic equations is solved numerically by an explicit Lagrange Euler projection method. This paper shows that adaptive multiresolution techniques can speed up the computation significantly. Even more so when local time stepping enhancement...

Contagion dynamics in time-varying metapopulation networks

The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups/patches are often represented as nodes in a network whose links represent the migration routes among them. The connections has been so far mostly considered as static, but in general evolve in time. Here we address this case by investigating si...