Past Seminars › Seminar Series

Applied Dynamical Systems and Inverse Problems Seminar (past)

Thu, 25/11/2010
11:00 		Dr Reason Machete (Reading University) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
The Forecaster's Dilemma
Thu, 18/11/2010
11:00 		Andreas Stordal (IRIS (Norway)) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Gaussian mixture filters with reservoir applications
Thu, 11/11/2010
11:00 		Hannah Arnold (AOPP University of Oxford) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Improving the Representation of Convective Clouds in Climate Models
Thu, 17/06/2010
11:00 		Dr Jara Imbers (OCCAM, Oxford) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Postponed to a later date
Thu, 18/03/2010
11:00 		Prof. Chris Farmer (OCIAM Oxford) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Postponed to a later date
Thu, 18/02/2010
11:00 		Trevor Wood (Oxford) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Submarine Hunting and Other Applications of the Mathematics of Tracking. (NOTE Change of speaker and topic)
The background for the multitarget tracking problem is presented along with a new framework for solution using the theory of random finite sets. A range of applications are presented including submarine tracking with active SONAR, classifying underwater entities from audio signals and extracting cell trajectories from biological data.
Thu, 04/02/2010
11:00 		Prof. Jean-Marc Ginoux (Université du Sud Génie Mécanique Productique) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Differential Geometry Applied to Dynamical Systems
This work aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory or the flow may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence identifying the main features of the system such as fixed points and their stability, local bifurcations of co-dimension one, centre manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes). In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem. Moreover, the concept of curvature of trajectory curves applied to classical dynamical systems such as Lorenz and Rossler models enabled to highlight one-dimensional invariant sets, i.e. curves connecting fixed points which are zero-dimensional invariant sets. Such "connecting curves" provide information about the structure of the attractors and may be interpreted as the skeleton of these attractors. Many examples are given in dimension three and more.
Thu, 26/11/2009
11:00 		Dr Roman Potsepaev (Schlumberger Abingdon Technology Centre) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Stochastic partial differential equations in reservoir property modeling
Thu, 05/11/2009
11:00 		Alfonso Castrejon Pita (AOPP University of Oxford) Applied Dynamical Systems and Inverse Problems Seminar Add to calendar DH 3rd floor SR
Synchronization in the rotating baroclinic annulus experiment

For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

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