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.
- PACS
- MSC
- Subjects
- Dates
-
Issue 4 (July 2002)
Received 17 October 2001
Published 5 June 2002
-
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing
Henk Broer et al 2002 Nonlinearity 15 1205
-
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach
Henk Broer et al 2003 Nonlinearity 16 1751
-
The geometry of resonance tongues: a singularity theory approach
Henk W Broer et al 2003 Nonlinearity 16 1511
-
Towards global models near homoclinic tangencies of dissipative diffeomorphisms
Henk Broer et al 1998 Nonlinearity 11 667
-
Nanotechnology, resources, and pollution control
Stephen L Gillett 1996 Nanotechnology 7 177
-
Diffraction by a grating made of a uniaxial dielectric–magnetic medium exhibiting negative refraction
Ricardo A Depine and Akhlesh Lakhtakia 2005 New J. Phys. 7 158
-
Negative phase velocity in a material with simultaneous mirror-conjugated and racemic chirality characteristics
Tom G Mackay and Akhlesh Lakhtakia 2005 New J. Phys. 7 165
-
Laser-driven photo-transmutation of 129I—a long-lived nuclear waste product
K W D Ledingham et al 2003 J. Phys. D: Appl. Phys. 36 L79
-
Multithreading for synchronization tolerance in matrix factorization
Alfredo Buttari et al 2007 J. Phys.: Conf. Ser. 78 012028
-
HAT-P-7: A Retrograde or Polar Orbit, and a Third Body
Joshua N. Winn et al 2009 ApJ 703 L99
Users also read
What's this?- Constraining Global Properties of the Draco Dwarf Spheroidal Galaxy
- Eleven New γ Doradus Stars
- A Deep Radio Survey of Abell 2125. III. The Cluster Core: Merging and Stripping
Related review articles
What's this?- Dimension of non-conformal repellers: a survey
- Progress in normal form theory
- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities