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- Blue_sky_catastrophe abstract "The blue sky catastrophe is a type of bifurcation of a periodic orbit. In other words, it describes a sort of behaviour stable solutions of a set of differential equations can undergo as the equations are gradually changed. This type of bifurcation is characterised by both the period and length of the orbit approaching infinity as the control parameter approaches a finite bifurcation value, but with the orbit still remaining within a bounded part of the phase space, and without loss of stability before the bifurcation point. In other words, the orbit vanishes into the blue sky.The bifurcation has found application in, amongst other places, slow-fast models of computational neuroscience. The possibility of the phenomenon was raised by David Ruelle and Floris Takens in 1971, and explored by R.L. Devaney and others in the following decade. More compelling analysis was not performed until the 1990s.This bifurcation has also been found in the context of fluid dynamics, namely in double-diffusive convection of a small Prandtl number fluid. Double diffusive convection occurs when convection of the fluid is driven by both thermal and concentration gradients, and the temperature and concentration diffusivities take different values. The bifurcation is found in an orbit that is born in a global saddle-loop bifurcation, becomes chaotic in a period doubling cascade, and disappears in the blue sky catastrophe.".
- Blue_sky_catastrophe wikiPageExternalLink e234501.
- Blue_sky_catastrophe wikiPageExternalLink Blue-Sky_Catastrophe.
- Blue_sky_catastrophe wikiPageExternalLink ~matals.
- Blue_sky_catastrophe wikiPageID "11569714".
- Blue_sky_catastrophe wikiPageLength "2186".
- Blue_sky_catastrophe wikiPageOutDegree "16".
- Blue_sky_catastrophe wikiPageRevisionID "589796653".
- Blue_sky_catastrophe wikiPageWikiLink Bifurcation_theory.
- Blue_sky_catastrophe wikiPageWikiLink Category:Bifurcation_theory.
- Blue_sky_catastrophe wikiPageWikiLink Computational_neuroscience.
- Blue_sky_catastrophe wikiPageWikiLink David_Ruelle.
- Blue_sky_catastrophe wikiPageWikiLink Floris_Takens.
- Blue_sky_catastrophe wikiPageWikiLink Fluid_dynamics.
- Blue_sky_catastrophe wikiPageWikiLink Length.
- Blue_sky_catastrophe wikiPageWikiLink Orbit_(dynamics).
- Blue_sky_catastrophe wikiPageWikiLink Orbital_period.
- Blue_sky_catastrophe wikiPageWikiLink Periodic_orbit.
- Blue_sky_catastrophe wikiPageWikiLink Periodic_point.
- Blue_sky_catastrophe wikiPageWikiLink Phase_space.
- Blue_sky_catastrophe wikiPageWikiLink Prandtl_number.
- Blue_sky_catastrophe wikiPageWikiLink R.L._Devaney.
- Blue_sky_catastrophe wikiPageWikiLink Robert_L._Devaney.
- Blue_sky_catastrophe wikiPageWikiLink Scholarpedia.
- Blue_sky_catastrophe wikiPageWikiLink Slow-fast_model.
- Blue_sky_catastrophe wikiPageWikiLink Wikt:bounded.
- Blue_sky_catastrophe wikiPageWikiLinkText "Blue sky catastrophe".
- Blue_sky_catastrophe hasPhotoCollection Blue_sky_catastrophe.
- Blue_sky_catastrophe wikiPageUsesTemplate Template:Mathapplied-stub.
- Blue_sky_catastrophe subject Category:Bifurcation_theory.
- Blue_sky_catastrophe hypernym Bifurcation.
- Blue_sky_catastrophe type River.
- Blue_sky_catastrophe comment "The blue sky catastrophe is a type of bifurcation of a periodic orbit. In other words, it describes a sort of behaviour stable solutions of a set of differential equations can undergo as the equations are gradually changed.".
- Blue_sky_catastrophe label "Blue sky catastrophe".
- Blue_sky_catastrophe sameAs m.02rjj22.
- Blue_sky_catastrophe sameAs Катастрофа_голубого_неба.
- Blue_sky_catastrophe sameAs Катастрофа_блакитного_неба.
- Blue_sky_catastrophe sameAs Q4217237.
- Blue_sky_catastrophe sameAs Q4217237.
- Blue_sky_catastrophe wasDerivedFrom Blue_sky_catastrophe?oldid=589796653.
- Blue_sky_catastrophe isPrimaryTopicOf Blue_sky_catastrophe.