In this repository, we study the behaviour of dynamical systems coming from fluid mechanics.
We compute how the topology of the delay embedding changes depending on the initial condition [1] for the following systems:
- Driven Double Gyre [2]
[1] G. D. Charó, G. Artana, and D. Sciamarella. Topology of dynamical reconstructions from Lagrangian data. Physica D, 405:132371, 12, 2020.
[2] S. C. Shadden, F. Lekien, J. E. Marsden. Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D 212 (3) (2005) 271–304.