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flows, intermittency is seen in the irregular dissipation of kinetic energy and the anomalous scaling of velocity increments. Understanding and modeling atmospheric flow and turbulence under such conditions are further complicated by “turbulence intermittency,” which manifests as periods of strong
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Another kind, on-off intermittency, occurs when a previously transversally stable chaotic attractor with dimension less than the embedding space begins to lose stability. Near unstable orbits within the attractor orbits can escape into the surrounding space, producing a temporary burst before
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and other wall bounded shear flows, there are intermittent puffs that are central to the process of transition from laminar to turbulent flow. Intermittent behavior has also been experimentally demonstrated in circuit oscillators and chemical reactions.
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Experimentally, intermittency appears as long periods of almost periodic behavior interrupted by chaotic behavior. As control variables change, the chaotic behavior become more frequent until the system is fully chaotic. This progression is known as the
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showing intermittency. The system spends long periods close to the bright periodic orbit, occasionally moving away for phases of chaotic dynamics that cover the rest of the attractor. This is an example of Pomeau–Manneville
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The intermittency in logistic map can be understood by looking at the cobweb diagram for logistic map (iterated three times). In the cobweb diagram, there are almost-tangencies where the trajectory can be trapped for a long
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and
Manneville described three routes to intermittency where a nearly periodic system shows irregularly spaced bursts of chaos. These (type I, II and III) correspond to the approach to a
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turbulent activity interspersed in a more quiescent airflow. It is also seen in the irregular alternation between turbulent and non-turbulent fluid that appear in turbulent
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F. Anselmet, Y. Gagne, E.J. Hopfinger, R.A. Antonia, High-order velocity structure functions in turbulent shear flows, Journal of Fluid
Mechanics, vol. 140, 1984, pp. 63-89
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Allouche, Mohammad; Bou-Zeid, Elie; Ansorge, Cedrick; Katul, Gabriel G.; Chamecki, Marcelo; Acevedo, Otavio; Thanekar, Sham; Fuentes, Jose D. (1 April 2022).
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E.Ott and J.C. Sommerer, Blowout bifurcations: the occurrence of riddled basins and on-off intermittency, Physics
Letters A, vol. 188, 1994, pp. 39–47
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Yves Pomeau and Paul
Manneville, Intermittent Transition to Turbulence in Dissipative Dynamical Systems, Commun. Math. Phys. vol. 74, pp. 189–197 1980
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C. Meneveau and K.R. Sreenivasan, The multifractal nature of turbulent energy dissipation, Journal of Fluid
Mechanics, vol. 224, 1991, pp. 429-484
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559:"The Detection, Genesis, and Modeling of Turbulence Intermittency in the Stable Atmospheric Surface Layer"
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Intermittent behaviour is commonly observed in fluid flows that are
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Intermittent jumping between two potential wells in the driven
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In crisis-induced intermittency a chaotic attractor suffers a
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295:{\displaystyle r=1+{\sqrt {8}}\approx 3.8284}
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510:. Cambridge University Press. p. 323.
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420:and other turbulent free shear flows. In
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481:. Taylor & Francis. Archived from
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54:adding citations to reliable sources
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563:Journal of the Atmospheric Sciences
234:Intermittency in logistic map with
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614:Eindhoven University of Technology
470:Mingzhou Ding. Alwyn Scott (ed.).
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479:Encyclopedia of Nonlinear Science
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18:Intermittency (disambiguation)
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393:returning to the attractor.
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606:Intermittency in Turbulence
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379:period-doubling bifurcation
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627:Cambridge University Press
621:Vassilicos, J. C. (2000).
508:Chaos in dynamical systems
450:Fluorescence intermittency
440:Crisis (dynamical systems)
435:Pomeau–Manneville scenario
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253:{\displaystyle r=3.8282}
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413:turbulent
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