Henk Broer et al 2002 Nonlinearity 15 1205 doi:10.1088/0951-7715/15/4/312
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing
Henk Broer1, Carles Simó2 and Renato Vitolo1
Show affiliationsRecommended by M Viana
A low-dimensional model of general circulation of the atmosphere is investigated. The differential equations are subject to periodic forcing, where the period is one year. A three-dimensional Poincaré mapping 
depends on three control parameters F, G, and 
, the latter being the relative amplitude of the oscillating part of the forcing. This paper provides a coherent inventory of the phenomenology of F,G,. For small, a Hopf-saddle-node bifurcation 
of fixed points and quasi-periodic Hopf bifurcations of invariant circles occur, persisting from the autonomous case = 0. For = 0.5, the above bifurcations have disappeared. Different types of strange attractors are found in four regions (chaotic ranges) in {F,G} and the related routes to chaos are discussed.
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Issue 4 (July 2002)
Received 17 October 2001
Published 5 June 2002
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Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing
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