A Theory of Stochastic Resonance in Climatic Change
- 1 June 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 43 (3), 565-578
- https://doi.org/10.1137/0143037
Abstract
In this paper we study a one-dimensional, nonlinear stochastic differential equation when small amplitude, long-period forcing is applied. The equation arises in the theory of the climate of the earth. We find that the cooperative effect of the stochastic perturbation and periodic forcing lead to an amplification of the peak of the power spectrum, due to a mechanism that we call stochastic resonance. A heuristic analysis of the resonance condition is presented and our analytical findings are confirmed by numerical calculations.Keywords
This publication has 18 references indexed in Scilit:
- Stochastic resonance in climatic changeTellus, 1982
- Modeling the Climatic Response to Orbital VariationsScience, 1980
- Catastrophes and resilience of a zero-dimensional climate system with ice-albedo and greenhouse feedbackQuarterly Journal of the Royal Meteorological Society, 1979
- Long-Term Variations of Daily Insolation and Quaternary Climatic ChangesJournal of the Atmospheric Sciences, 1978
- Structural and stochastic analysis of a zero-dimensional climate systemQuarterly Journal of the Royal Meteorological Society, 1978
- Stochastic climate models, Part II Application to sea-surface temperature anomalies and thermocline variabilityTellus, 1977
- Stochastic climate models Part I. TheoryTellus, 1976
- Towards the understanding and prediction of climatic variationsQuarterly Journal of the Royal Meteorological Society, 1976
- Climate Stability for a Sellers-Type ModelJournal of the Atmospheric Sciences, 1976
- The effect of solar radiation variations on the climate of the EarthTellus, 1969