Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics

TY - JOUR

T1 - Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics

AU - Ditlevsen, Peter

AU - Braun-Türmann, Holger

PY - 2011/9/1

Y1 - 2011/9/1

N2 - 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.

AB - 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.

U2 - 10.1142/S0219493711003309

DO - 10.1142/S0219493711003309

M3 - Journal article

SN - 0219-4937

VL - 11

SP - 315

EP - 321

JO - Stochastics and Dynamics

JF - Stochastics and Dynamics

IS - 2-3, SI

ER -