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- Chaotic_bubble abstract "Many dynamic processes that generate bubbles are nonlinear, many exhibiting mathematically chaotic patterns consistent with chaos theory. In such cases, chaotic bubbles can be said to occur. In most systems they arise out of a forcing pressure that encounters some kind of resistance or shear factor, but the details vary depending on the particular context.The most widely known example is bubbles in various forms of liquid. Although there may have been an earlier use of the term, it was used in 1987 specifically in connection with a model of the motion of a single bubble in a fluid subject to periodically driven pressure oscillations (Smereka, Birnir, and Banerjee, 1987). For an overview of models of single-bubble dynamics see Feng and Leal (1997). There is extensive literature on nonlinear analysis of the dynamics of bubbles in liquids, with important contributions from Werner Lauterborn (1976). Lauterborn and Cramer (1981) also applied chaos theory to acoustics, in which bubble dynamics play a crucial part. This includes analysis of chaotic dynamics in an acoustic cavitation bubble field in a liquid (Lauterborn, Holzfuss, and Bilio, 1994). The study of the role of shear stresses in non-Newtonian fluids has been done by Li, Mouline, Choplin, and Midoux (1997).A somewhat related field, the study of controlling such chaotic bubble dynamics (control of chaos), converts them to periodic oscillations, and has an important application to gas–solids in fluidized bed reactors, also applicable to the ammoxidation of propylene to acrylonitrile (Kaart, Schouten, and van den Bleek, 1999). Sarnobat et al. (2000 & 2004) study the behavior of electrostatic fields on chaotic bubbling in attempt to control the chaos into a lower order periodicity.An early attempted application that led to failure was in Alan H. Guth’s (1981) chaotic inflation theory of the early period of the universe. While he did not precisely use the term “chaotic bubbles,” his model involved “bubbles” in the original cosmic foam that collided chaotically. The model has since been modified due to the inability to find in the real universe some of the phenomena predicted by it, with improvements involving quantum fluctuations provided by Andrei Linde (1986). In economics, bubbles are due to speculation in asset markets, causing an economic bubble. The first to apply the term in this context was J. Barkley Rosser, Jr. in 1991. While they did not use the term, Richard H. Day and Weihong Huang (1990) showed that the interaction of fundamentalist and trend-chasing traders could lead to chaotic dynamics in the price path of a speculative bubble. De Grauwe, Dewachter, and Embrechts (1983) applied such a model to foreign exchange rate dynamics.".
- Chaotic_bubble wikiPageExternalLink S0009250903004378.
- Chaotic_bubble wikiPageExternalLink www.chaoticbubble.com.
- Chaotic_bubble wikiPageExternalLink www.chaoticbubbles.com.
- Chaotic_bubble wikiPageID "15594043".
- Chaotic_bubble wikiPageLength "5727".
- Chaotic_bubble wikiPageOutDegree "29".
- Chaotic_bubble wikiPageRevisionID "577622888".
- Chaotic_bubble wikiPageWikiLink Acoustics.
- Chaotic_bubble wikiPageWikiLink Acrylonitrile.
- Chaotic_bubble wikiPageWikiLink Alan_Guth.
- Chaotic_bubble wikiPageWikiLink Ammoxidation.
- Chaotic_bubble wikiPageWikiLink Analysis.
- Chaotic_bubble wikiPageWikiLink Andrei_Linde.
- Chaotic_bubble wikiPageWikiLink Category:Chaos_theory.
- Chaotic_bubble wikiPageWikiLink Category:Economic_bubbles.
- Chaotic_bubble wikiPageWikiLink Chaos_theory.
- Chaotic_bubble wikiPageWikiLink Control_of_chaos.
- Chaotic_bubble wikiPageWikiLink Economic_bubble.
- Chaotic_bubble wikiPageWikiLink Electric_field.
- Chaotic_bubble wikiPageWikiLink Eternal_inflation.
- Chaotic_bubble wikiPageWikiLink Exchange_rate.
- Chaotic_bubble wikiPageWikiLink Fluid_dynamics.
- Chaotic_bubble wikiPageWikiLink Fluidized_bed_reactor.
- Chaotic_bubble wikiPageWikiLink Friction.
- Chaotic_bubble wikiPageWikiLink J._Barkley_Rosser,_Jr..
- Chaotic_bubble wikiPageWikiLink Liquid.
- Chaotic_bubble wikiPageWikiLink Liquid_bubble.
- Chaotic_bubble wikiPageWikiLink Market_liquidity.
- Chaotic_bubble wikiPageWikiLink Non-Newtonian_fluid.
- Chaotic_bubble wikiPageWikiLink Nonlinear_system.
- Chaotic_bubble wikiPageWikiLink Oscillation.
- Chaotic_bubble wikiPageWikiLink Pressure.
- Chaotic_bubble wikiPageWikiLink Propene.
- Chaotic_bubble wikiPageWikiLink Quantum_fluctuation.
- Chaotic_bubble wikiPageWikiLink Shear_stress.
- Chaotic_bubble wikiPageWikiLink Speculation.
- Chaotic_bubble wikiPageWikiLinkText "Chaotic bubble".
- Chaotic_bubble wikiPageWikiLinkText "chaotic bubble".
- Chaotic_bubble wikiPageUsesTemplate Template:Context.
- Chaotic_bubble wikiPageUsesTemplate Template:Financial_bubbles.
- Chaotic_bubble wikiPageUsesTemplate Template:Multiple_issues.
- Chaotic_bubble wikiPageUsesTemplate Template:No_footnotes.
- Chaotic_bubble subject Category:Chaos_theory.
- Chaotic_bubble subject Category:Economic_bubbles.
- Chaotic_bubble hypernym Nonlinear.
- Chaotic_bubble type Page.
- Chaotic_bubble type Physic.
- Chaotic_bubble comment "Many dynamic processes that generate bubbles are nonlinear, many exhibiting mathematically chaotic patterns consistent with chaos theory. In such cases, chaotic bubbles can be said to occur. In most systems they arise out of a forcing pressure that encounters some kind of resistance or shear factor, but the details vary depending on the particular context.The most widely known example is bubbles in various forms of liquid.".
- Chaotic_bubble label "Chaotic bubble".
- Chaotic_bubble sameAs Q5072840.
- Chaotic_bubble sameAs m.03mgxpd.
- Chaotic_bubble sameAs Q5072840.
- Chaotic_bubble wasDerivedFrom Chaotic_bubble?oldid=577622888.
- Chaotic_bubble isPrimaryTopicOf Chaotic_bubble.