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Original Articles

Stochastic aspects of climatic transitions–response to a periodic forcing

Pages 1-9 | Received 20 Feb 1981, Published online: 15 Dec 2016
 

Abstract

The time-dependent properties of the Fokker–Planck equation corresponding to a zero-dimensional climate model, showing bistable behavior and subject to a weak external periodic forcing are analyzed. Conditions under which the response is amplified are found analytically. In this way the possibility of transitions between climatic states is established. The results are illustrated by the 100,000-yr periodicity of the eccentricity of the earth's orbit, in connection with glaciation cycles.