THEORY AND MODELS OF CHAOTIC SYSTEMS;
LOCALIZATION IN DISORDERED STRUCTURES;
D O I:
10.1209/0295-5075/15/4/004
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
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.