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.
|Number of pages||6|
|Publication status||Published - 15 Jun 1991|
- THEORY AND MODELS OF CHAOTIC SYSTEMS
- LOCALIZATION IN DISORDERED STRUCTURES
- COUPLED MAP LATTICES
- SIZE SCALING APPROACH
- ANDERSON LOCALIZATION