ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations
and
Control Processes

Bifurcations and Strange Attractors in a Climate Related System

Author(s):

Niklas Lundstrom

Department of Mathematics,
LuleЕ Univeristy of Technology,
LuleЕ, SWEDEN

niklun-9@student.ltu.se

Abstract:

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.

Full text (pdf)