Lyapunov spectra of coupled map lattices
Abstract
The relationship between the Lyapunov spectrum of diffusively coupled one-dimensional maps and the spectrum of the discrete Schrödinger operator is stressed. As a result, an analytic expression is derived for the Lyapunov spectrum for uniformly expanding maps. It is also shown that for a coupling strength larger than a critical value, the spectrum extends to - ∞.
- Publication:
-
Physics Letters A
- Pub Date:
- January 1990
- DOI:
- 10.1016/0375-9601(90)90373-V
- Bibcode:
- 1990PhLA..143..365I