Flow transitions resembling bifurcations of the logistic map in simulations of the baroclinic rotating annulus

We present evidence for a sequence of bifurcations in simulations of the differentially heated baroclinic rotating annulus, similar to bifurcations of the logistic map. The Met. Office / Oxford Rotating Annulus Laboratory Simulation ( MORALS) code is used to construct a detailed numerical regime dia...

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Bibliographic Details
Published inPhysica. D Vol. 237; no. 18; pp. 2251 - 2262
Main Authors Young, R.M.B., Read, P.L.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.09.2008
Elsevier
Subjects
Baroclinic
Chaos
Exact sciences and technology
Logistic map
Physics
Rotating annulus
Chaos
05.45.Pq
Logistic map
05.45.Tp
47.20.Ky
47.32.Ef
Baroclinic
Rotating annulus
Time series
Bifurcation
High temperature
Non linear phenomenon
Poincaré section
Lyapunov exponent
Forcing
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Summary:We present evidence for a sequence of bifurcations in simulations of the differentially heated baroclinic rotating annulus, similar to bifurcations of the logistic map. The Met. Office / Oxford Rotating Annulus Laboratory Simulation ( MORALS) code is used to construct a detailed numerical regime diagram for the annulus, and the distribution of regimes in parameter space is discussed. The bifurcations are observed in a sequence of runs at high temperature forcing, identified by Poincaré sections of the dominant temperature mode amplitude time series. Higher order return maps and predictions using quadratic fits to the data are used to verify this result, and Lyapunov exponents are calculated to identify and quantify the chaotic parts of the sequence.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2008.02.014