Abstract
Nonlinearities in the flow equations of spatially extended systems can give rise to high-dimensional deterministic chaos. This plays the role of an intrinsic source of disorder in tangent space, and can lead to localization phenomena. A transfer matrix approach is applied to 1d chains of coupled maps to unravel the structure of the Lyapunov vectors. Generically, we find localized and fractal <<states>>, the latter ones being characterized by an information dimension strictly bounded between 0 and 1.
| Original language | English |
|---|---|
| Pages (from-to) | 387-392 |
| Number of pages | 6 |
| Journal | Europhysics Letters |
| Volume | 15 |
| Issue number | 4 |
| Publication status | Published - 15 Jun 1991 |
Keywords
- THEORY AND MODELS OF CHAOTIC SYSTEMS
- LOCALIZATION IN DISORDERED STRUCTURES
- COUPLED MAP LATTICES
- SIZE SCALING APPROACH
- ANDERSON LOCALIZATION
- INTERMITTENCY
- SPECTRA