Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice: Towards a Prelude of a "Field Theory of Chaos"
Open Access
- 1 September 1984
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 72 (3) , 480-486
- https://doi.org/10.1143/ptp.72.480
Abstract
Qualitative features of a one-dimensional lattice of coupled-logistic maps are investigated. First, kink-antikink patterns of 2n-periodic cycles with their period-doubling bifurcations are found. Secondly, antiferro-like structures with some kinks are observed, which show the transition from torus to chaos. Lastly, spatial intermittent structures are investigated, with the emphasis on the propagation of bursts.Keywords
This publication has 1 reference indexed in Scilit:
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978