Volume 40, Number 5, December I 1997
|Page(s)||497 - 502|
|Published online||01 September 2002|
Complex evolution in genetic networks
IST, L.go Rosanna Benzi 10, I-16132 Genova, Italy
2 Dipartimento Biologia Animale e Genetica, Università di Firenze, Via Romana 17-19, I-50125 Firenze, Italy
3 Dipartimento di Fisica, Università di Firenze, Largo Fermi 2, I-50125 Firenze, Italy
4 INFN, Sezione di Firenze and INFM, Unità di Firenze, Largo Fermi 2, I-50125 Firenze, Italy
Accepted: 16 October 1997
A simple model of diffusively coupled genetic networks on a 1d lattice is considered as a case study for characterizing complex unpredictable dynamics in Lyapunov-stable spatially extended systems. This dynamical regime, corresponding to transient evolution lasting over times that grow exponentially with the system size, is shown to be associated to the existence of a multifractal attractor in the thermodynamic limit. Space-time averages of proper observables exhibit robust statistical properties for finite, sufficiently large samples.
PACS: 05.45.+b – Theory and models of chaotic systems
© EDP Sciences, 1997
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.