Project description.
The project’s goal is creating a scientific consortium on mathematical methods for studies of ocean and atmospheric dynamics, with a focus upon innovating approaches that remain underexplored. The strategies include adapting geometrical, topological and/or differential constructions from Topology and Dynamics of Chaos for time series analysis, as well as exploring systems built from large-scale stochastic representations. Concerning applications, the strategy to test the new methods is to run heuristic diagnostics on flow data, and point out similarities between features of the diagnostics and observed flow patterns. Each participating institution provides specific know-hows, either in mathematical techniques or in collecting and analyzing data. Contributions encompass theoretical procedures to extract Lagrangian Coherent Structures from trajectory data, measurement campaigns combining in situ and satellite data, high resolution computing, the application of nonlinear dynamical systems theory on direct Lagrangian measurements, and the development of original stochastic frameworks to represent large-scale flow dynamics or low-dimensional deterministic models.