Abstract
We argue that transient chaos in deterministic dynamical systems is a major source of noise-induced chaos. The line of arguments is based on the fractal properties of the dynamical invariant sets responsible for transient chaos, which were not taken into account in previous works. We point out that noise-induced chaos is a weak noise phenomenon since intermediate noise strengths destroy fractality. The existence of a deterministic nonattracting chaotic set, and of chaotic transients, underlying noise-induced chaos is illustrated by examples, among others by a population dynamical model.
| Original language | English |
|---|---|
| Pages (from-to) | 509-520 |
| Number of pages | 12 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 2008 |
Keywords
- noise-induced chaos
- population dynamics
- transient chaos
- nonattracting chaotic sets
- fractal dimension
- time-series analysis
- population-dynamics
- systems
- unpredictability
- attractors