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- Title
PSEUDO-RESONANCE INDUCED QUASI-PERIODIC BEHAVIOR IN STOCHASTIC THRESHOLD DYNAMICS.
- Authors
DITLEVSEN, PETER D.; BRAUN, HOLGER
- Abstract
Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense that for small and large intensities of the noise the signal is irregular and the distribution of threshold crossings is broad, while for a tuned intermediate value of noise intensity, the signal becomes quasi-periodic and the distribution of threshold crossings is narrow. The mechanism captured by the model might be relevant for explaining apparent quasi-periodicity of observed climatic variations where no internal or external periodicities can be identified.
- Subjects
STOCHASTIC differential equations; MATHEMATICAL models; DISTRIBUTION (Probability theory); NOISE; CLIMATE change; MATHEMATICAL analysis
- Publication
Stochastics & Dynamics, 2011, Vol 11, Issue 2/3, p315
- ISSN
0219-4937
- Publication type
Article
- DOI
10.1142/S0219493711003309