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- Intermittency abstract "In dynamical systems, intermittency is the irregular alternation of phases of apparently periodic and chaotic dynamics (Pomeau–Manneville dynamics), or different forms of chaotic dynamics (crisis-induced intermittency).Pomeau 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 saddle-node bifurcation, a subcritical Hopf bifurcation, or an inverse period-doubling bifurcation. In the apparently periodic phases the behaviour is only nearly periodic, slowly drifting away from an unstable periodic orbit. Eventually the system gets far enough away from the periodic orbit to be affected by chaotic dynamics in the rest of the state space, until it gets close to the orbit again and returns to the nearly periodic behaviour. Since the time spent near the periodic orbit depends sensitively on how closely the system entered its vicinity (in turn determined by what happened during the chaotic period) the length of each phase is unpredictable.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 returning to the attractor. In crisis-induced intermittency a chaotic attractor suffers a crisis, where two or more attractors cross the boundaries of each other's basin of attraction. As an orbit moves through the first attractor it can cross over the boundary and become attracted to the second attractor, where it will stay until its dynamics moves it across the boundary again.Intermittent behaviour is commonly observed in fluid flows that are turbulent or near the transition to turbulence. In highly turbulent flows, intermittency is seen in the irregular dissipation of kinetic energy. It is also seen in the irregular alternation between turbulent and non-turbulent fluid that appear in turbulent jets and other turbulent free shear flows. In pipe flow 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.".
- Intermittency thumbnail Intermittent_behavior_in_Duffing_oscillator.png?width=300.
- Intermittency wikiPageExternalLink 200213784.pdf.
- Intermittency wikiPageExternalLink Intermit.htm.
- Intermittency wikiPageID "4662960".
- Intermittency wikiPageLength "4590".
- Intermittency wikiPageOutDegree "21".
- Intermittency wikiPageRevisionID "686133533".
- Intermittency wikiPageWikiLink Attractor.
- Intermittency wikiPageWikiLink Cambridge_University_Press.
- Intermittency wikiPageWikiLink Category:Dynamical_systems.
- Intermittency wikiPageWikiLink Chaos_theory.
- Intermittency wikiPageWikiLink Crisis_(dynamical_systems).
- Intermittency wikiPageWikiLink Dynamical_system.
- Intermittency wikiPageWikiLink Eindhoven_University_of_Technology.
- Intermittency wikiPageWikiLink Fluorescence_intermittency.
- Intermittency wikiPageWikiLink Hopf_bifurcation.
- Intermittency wikiPageWikiLink Jet_(fluid).
- Intermittency wikiPageWikiLink Period-doubling_bifurcation.
- Intermittency wikiPageWikiLink Periodic_point.
- Intermittency wikiPageWikiLink Pipe_flow.
- Intermittency wikiPageWikiLink Saddle-node_bifurcation.
- Intermittency wikiPageWikiLink State_space.
- Intermittency wikiPageWikiLink Turbulence.
- Intermittency wikiPageWikiLink File:Intermittent_Lorenz_Attractor_-_Chaoscope.jpg.
- Intermittency wikiPageWikiLink File:Intermittent_behavior_in_Duffing_oscillator.png.
- Intermittency wikiPageWikiLinkText "Intermittency".
- Intermittency wikiPageWikiLinkText "Intermittent".
- Intermittency wikiPageWikiLinkText "intermittency".
- Intermittency wikiPageWikiLinkText "intermittent working".
- Intermittency wikiPageWikiLinkText "intermittent".
- Intermittency wikiPageWikiLinkText "intermittently".
- Intermittency wikiPageUsesTemplate Template:Cite_book.
- Intermittency wikiPageUsesTemplate Template:Other_uses.
- Intermittency wikiPageUsesTemplate Template:Reflist.
- Intermittency subject Category:Dynamical_systems.
- Intermittency hypernym Alternation.
- Intermittency type PublicTransitSystem.
- Intermittency type Field.
- Intermittency type Mechanic.
- Intermittency type Physic.
- Intermittency comment "In dynamical systems, intermittency is the irregular alternation of phases of apparently periodic and chaotic dynamics (Pomeau–Manneville dynamics), or different forms of chaotic dynamics (crisis-induced intermittency).Pomeau and Manneville described three routes to intermittency where a nearly periodic system shows irregularly spaced bursts of chaos.".
- Intermittency label "Intermittency".
- Intermittency sameAs Q1666248.
- Intermittency sameAs Intermittenz.
- Intermittency sameAs Intermitencja.
- Intermittency sameAs m.0cg1fh.
- Intermittency sameAs Q1666248.
- Intermittency wasDerivedFrom Intermittency?oldid=686133533.
- Intermittency depiction Intermittent_behavior_in_Duffing_oscillator.png.
- Intermittency isPrimaryTopicOf Intermittency.