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Chameleon attractors in a turbulent flow

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Abstract

Turbulent flows in geophysical systems often present rich dynamics originating from non-trivial energy fluxes in scale space, non-stationary forcings and geometrical constraints. This complexity appears via non-hyperbolic chaos, randomness, state-dependent persistence and predictability. All these features have prevented a full characterization of the underlying turbulent (stochastic) attractor, which will be the key object to unpin this complexity. Here we use a novel formalism to map unstable fixed points to singularities of turbulent flows and to trace the evolution of their structural characteristics when moving from small to large scales and vice versa, providing a full characterization of the attractor. We demonstrate that the properties of the dynamically invariant objects depend on the scale we are focusing on. Given the changing nature of such attractors in time, space and scale spaces, we term them {\em chameleon} attractors.

Dates and versions

hal-03498544 , version 1 (21-12-2021)

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Tommaso Alberti, Francois Daviaud, Reik V. Donner, Berengere Dubrulle, Davide Faranda, et al.. Chameleon attractors in a turbulent flow. 2021. ⟨hal-03498544⟩
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