Annual variability in a conceptual climate model: Snapshot attractors, hysteresis in extreme events, and climate sensitivity

Chaos

Volumn 22, Issue 2, 2012, Pages

  Bódai, Tamás ^a,b   Tél, Tamás ^b  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84863452858     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3697984     Document Type: Article

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24. The blank circles around the attractor points indicate the size of their neighborhood used to define escape. A relatively large size had to be used because the attractors are fairly weakly attracting. This is due to the fact that only a slightly larger extent of the overall attracting trajectories (a period-1 and a period-4 cycle for F = 6) lie in the dissipative phase space region, x<1+a/2. The (green) unstable manifold certainly extends to within the blank circles, as they guide trajectories to the attractor points, but this can be seen after very long iterations only.
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