| Issue |
Europhys. Lett.
Volume 40, Number 5, December I 1997
|
|
|---|---|---|
| Page(s) | 497 - 502 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1997-00494-8 | |
| Published online | 01 September 2002 | |
Complex evolution in genetic networks
1
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
Received:
23
June
1997
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
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