R. Kozma, INTERMEDIATE-RANGE COUPLING GENERATES LOW-DIMENSIONAL ATTRACTORS DEEPLY IN THE CHAOTIC REGION OF ONE-DIMENSIONAL LATTICES, Physics letters. A, 244(1-3), 1998, pp. 85-91
Properties of intermediate-range coupling are studied in one-dimension
al coupled map lattices (CMLs). Phase diagrams have been constructed w
hich describe the relationship between the range of coupling and coupl
ing strength. A delicate low-dimensional attractor is emerging for non
-global interactions in the case of weak coupling, while the leading L
yapunov exponent is a large positive number. (C) 1998 Elsevier Science
B.V.