Bifurcations and Strange Attractors in a Climate Related System
2005 (English)In: Differential Equations and Control Processes, ISSN 1817-2172, no 1, 1-53 p.Article in journal (Refereed) Published
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, 1-53 p.
IdentifiersURN: urn:nbn:se:umu:diva-40226OAI: oai:DiVA.org:umu-40226DiVA: diva2:398456