Nontrivial collective behavior in coupled maps on fractal lattices

M.G. Cosenza

Physica A: Statistical Mechanics and its Applications, 1998, vol. 257, issue 1, 357-364

Abstract: The collective behavior of locally coupled-map lattices is investigated when the connections are defined on fractal geometries, such as generalized Sierpinski gaskets embedded in d-dimensional Euclidean spaces. The collective states are described through the mean fields of the networks. Periodic global attractors are observed as functions of the parameters of the systems, with no indications of collective quasiperiodicities which are common in high-dimensional regular lattices. The influence of the connectivity on the emergence of nontrivial collective behavior in coupled chaotic systems is discussed.

Keywords: Chaotic systems; Discrete dynamical models; Statistical mechanics; Collective phenomena (search for similar items in EconPapers)
Date: 1998
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437198001599
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:257:y:1998:i:1:p:357-364

DOI: 10.1016/S0378-4371(98)00159-9

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().