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-Bénard 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.
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December 2019
Research Article|
December 18 2019
Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems
Gisela D. Charó
;
Gisela D. Charó
1
Laboratorio de Fluidodinámica, Facultad de Ingeniería, Universidad de Buenos Aires
, CONICET, C1063ACV CABA, Argentina
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Denisse Sciamarella
;
Denisse Sciamarella
2 Institut Franco-Argentin d’Études sur le Climat et ses Impacts (IFAECI), UMI 3351 (CNRS-CONICET-UBA), C1428EGA CABA,
Argentina
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Sylvain Mangiarotti
;
Sylvain Mangiarotti
3
Centre d’Études Spatiales de la Biosphère, UPS-CNRS-CNES-IRD, Observatoire Midi-Pyrénées
, 18 avenue Édouard Belin, 31401 Toulouse, France
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Guillermo Artana
;
Guillermo Artana
1
Laboratorio de Fluidodinámica, Facultad de Ingeniería, Universidad de Buenos Aires
, CONICET, C1063ACV CABA, Argentina
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Christophe Letellier
Christophe Letellier
4
Normandie Université—CORIA, Campus Universitaire du Madrillet
, F-76800 Saint-Etienne du Rouvray, France
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Chaos 29, 123126 (2019)
Article history
Received:
July 19 2019
Accepted:
December 02 2019
Citation
Gisela D. Charó, Denisse Sciamarella, Sylvain Mangiarotti, Guillermo Artana, Christophe Letellier; Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems. Chaos 1 December 2019; 29 (12): 123126. https://doi.org/10.1063/1.5120625
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