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 - ∞. © 1990.
Lyapunov spectra of coupled map lattices / Isola, S.; Politi, A.; Ruffo, S.; Torcini, A.. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 143:8(1990), pp. 365-368. [10.1016/0375-9601(90)90373-V]
Lyapunov spectra of coupled map lattices
Ruffo S.;
1990-01-01
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 - ∞. © 1990.File in questo prodotto:
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