The dynamics of coupled 2D chaotic maps with time-delay on a scalefree-tree is studied, with different types of the collective behaviors already been reported for various values of coupling strength [1]. In this work we focus on the dynamics' time-evolution at the coupling strength of the stability threshold and examine the properties of the regularization process. The time-scales involved in the appearance of the regular state and the periodic state are determined. We find unexpected regularity in the the system's final steady state: all the period values turn out to be integer multiples of one among given numbers. Moreover, the period value distribution follows a power-law with a slope of -2.24. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Levnajić, Z. (2008). Dynamical regularization in scalefree-trees of coupled 2D chaotic maps. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5102 LNCS, pp. 584–592). https://doi.org/10.1007/978-3-540-69387-1_67
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