Charo G. D., Sciamarella D., Mangiarotti Sylvain, Artana G., Letellier C. (2019). Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems. Chaos, 29 (12), p. art. 123126 [ 12 p.]. ISSN 1054-1500.
Titre du document
Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems
Lagrangian transport in the dynamical systems approach has so far been investigated disregarding the connection between the whole state space and the concept of observability. Key issues such as the definitions of Lagrangian and chaotic mixing are revisited under this light, establishing the importance of rewriting nonautonomous flow systems derived from a stream function in autonomous form, and of not restricting the characterization of their dynamics in subspaces. The observability of Lagrangian chaos from a reduced set of measurements is illustrated with two canonical examples: the Lorenz system derived as a low-dimensional truncation of the Rayleigh-Benard convection equations and the driven double-gyre system introduced as a kinematic model of configurations observed in the ocean. A symmetrized version of the driven double-gyre model is proposed. Published under license by AIP Publishing.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
