Noise-induced intermittency in the quasiperiodic regime of Rayleigh-B�nard convection

Autor: H. Haucke, Robert E. Ecke
Rok vydání: 1989
Předmět:
Zdroj: Journal of Statistical Physics. 54:1153-1172
ISSN: 1572-9613
0022-4715
DOI: 10.1007/bf01044708
Popis: Thermal measurements on a converting dilute3He-superfluid4He solution in the quasiperiodic regime show a transition from a mode-locked periodic state to chaotic time dependence via intermittency. The type of intermittency is discussed in the context of standard models of the phenomenon. In a region just below the onset of intermittency, injection of external multiplicative noise with noise amplitude above a certain threshold level induces the chaotic state. This noise-induced transition can be understood to be due to perturbations of a system with a barely stable attractor; the noise causes the system to escape the weakly attracting periodic points. We present a numerical simulation of a 1D map with external noise which explains some aspects of the noise-induced behavior, and a 2D map which has certain features of the intermittency.
Databáze: OpenAIRE