Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics

TL;DR

This paper introduces a stochastic threshold model demonstrating pseudo-resonance, where an intermediate noise level induces quasi-periodic behavior, potentially explaining observed climatic quasi-periodicity without identifiable periodic drivers.

Contribution

The study presents a simple stochastic threshold model showing how pseudo-resonance can produce quasi-periodic signals, offering insights into climate variability.

Findings

Intermediate noise induces quasi-periodicity

Distribution of threshold crossings narrows at optimal noise level

Model may explain climatic quasi-periodicities

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.