Evolution of Networks: From Biological Nets to the Internet and WWW (Physics)
Evolution of Networks: From Biological Nets to the Internet and WWW (Physics)
Dynamical Patterns in Scalefree Trees of Coupled 2D Chaotic Maps
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
| Hi-index | 0.00 |
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 regularizationprocess. The time-scales involved in the appearance of the regular stateand the periodic stateare 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.