Implementation and trials of novel analysis techniques for dynamical systems with the goal of addressing cases at the interface between stochastic dynamics and fully integrable dynamics. This will require the application of very advanced mathematics (topological invariants, Hopf algebras, etc.) over moderately large dataset and will need to make use of both CPU bound symbolic computations and GPU bound BLAS and information theoretic operations. A candidate construction is to use ArrayFire embedded in Theano.