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Searching for chaotic deterministic features in laboratory water surface waves
Joelson M., Dudok De Wit T., Dussouillez P., Ramamonjiarisoa A.
Nonlinear Processes in Geophysics 7, 1/2 (2000) 37-48 - http://hal.archives-ouvertes.fr/hal-00331051
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Physique/Astrophysique/Cosmologie et astrophysique extra-galactique
Planète et Univers/Astrophysique
Planète et Univers/Sciences de la Terre
Searching for chaotic deterministic features in laboratory water surface waves
M. Joelson 1, Th. Dudok De Wit 2, Ph. Dussouillez 1, A. Ramamonjiarisoa 1
1 :  Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE)
http://www.irphe.univ-mrs.fr
CNRS : UMR6594 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Ecole Centrale de Marseille
Technopole de Chateau-Gombert - 49 rue Joliot Curie - BP 146 - 13384 MARSEILLE cedex 13
France
2 :  Laboratoire de physique et chimie de l'environnement (LPCE)
http://lpce.cnrs-orleans.fr
CNRS : UMR6115 – INSU – Université d'Orléans
3A Av de la recherche scientifiq 45071 ORLEANS CEDEX 2
France
The dynamic evolution of laboratory water surface waves has been studied within the framework of dynamical systems with the aim to identify stochastic or deterministic nonlinear features. Three different regimes are considered: pure wind waves, pure mechanical waves and mixed (wind and mechanical) waves. These three regimes show different dynamics. The results on wind waves do not clearly support the recently proposed idea that a deterministic Stokes-like component dominate the evolution of such waves; they are more appropriately described by a similarity-like approach that includes a random character. Cubic resonant interactions are clearly identified in pure mechanical waves using tricoherence functions. However, detailed aspects of the interactions do not fully agree with existing theoretical models. Finally, a deterministic motion is observed in mixed waves, which therefore are best described by a low dimensional nonlinear deterministic process.
Anglais

Nonlinear Processes in Geophysics
Publisher European Geosciences Union (EGU)
ISSN 1023-5809 (eISSN : 1607-7946)
internationale
2000
7
1/2
37-48

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