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Bifurcations and Strange Attractors in a Climate Related System
2005 (English)In: Differentsial'nye Uravneniya i Protsessy Upravleniya / Differential Equations and Control Processes

, ISSN 1817-2172, E-ISSN 1817-2172, no 1, p. 1-53
Article in journal (Refereed) Published
Abstract [en]

R. V. Bekryaev derived a system for a horizontally baroclinic atmosphere consisting of six ordinary differential equations. We prove dissipativity and find estimates for the location of the global attractor. The evolution of a complicated attractor is analysed with a Poincar'e map showing difficult bifurcation behaviour. Investigations in bifurcation diagrams show a rich dynamical behaviour including a lot of known complicated bifurcations, of which a fold-Hopf bifurcation is examined in detail. Finally, we give some theory about the Lyapunov spectra and present a method for determining the exponents.

Place, publisher, year, edition, pages
2005. no 1, p. 1-53
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Mathematical Analysis
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URN: urn:nbn:se:umu:diva-40226OAI: oai:DiVA.org:umu-40226DiVA, id: diva2:398456
Available from: 2011-02-17 Created: 2011-02-17 Last updated: 2018-04-09Bibliographically approved

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Lundström, Niklas L.P.
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Differentsial'nye Uravneniya i Protsessy Upravleniya / Differential Equations and Control Processes

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