BIFURCATION AND PREDICTABILITY ANALYSIS OF A LOW-ORDER ATMOSPHERIC CIRCULATION MODEL
1995 ◽
Vol 05
(06)
◽
pp. 1701-1711
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Keyword(s):
A comprehensive bifurcation analysis of a low-order atmospheric circulation model is carried out. It is shown that the model admits a codimension-2 saddle-node-Hopf bifurcation. The principal mechanisms leading to the appearance of complex dynamics around this bifurcation are described and various routes to chaotic behavior are identified, such as the transition through the period doubling cascade, the breakdown of an invariant torus and homoclinic bifurcations of a saddle-focus. Non-trivial limit sets in the form of a chaotic attractor or a chaotic repeller are found in some parameter ranges. Their presence implies an enhanced unpredictability of the system for parameter values corresponding to the winter season.
1998 ◽
Vol 122
(1)
◽
pp. 240-245
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Keyword(s):
2003 ◽
Vol 12
(04)
◽
pp. 417-433
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2008 ◽
Vol 18
(3)
◽
pp. 033121
◽
1997 ◽
Vol 233
(4-6)
◽
pp. 347-354
◽
2006 ◽
Vol 09
(03)
◽
pp. 209-222
◽
2009 ◽
Vol 2009
◽
pp. 1-26
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