Propagation failure of excitation waves on trees and random networks

Autor:	Kouvaris, Nikos E., Isele, Thomas M., Mikhailov, Alexander S., Schoell, Eckehard
Rok vydání:	2014
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Mathematics - Dynamical Systems Nonlinear Sciences - Adaptation and Self-Organizing Systems
Zdroj:	EPL 106 (2014) 68001
Druh dokumentu:	Working Paper
DOI:	10.1209/0295-5075/106/68001
Popis:	Excitation waves are studied on trees and random networks of coupled active elements. Undamped propagation of such waves is observed in those networks. It represents an excursion from the resting state and a relaxation back to it for each node. However, the degrees of the nodes influence drastically the dynamics. Excitation propagates more slowly through nodes with larger degrees and beyond some critical degree waves lose their stability and disappear. For regular trees with a fixed branching ratio, the critical degree is determined with an approximate analytical theory which also holds locally for the early stage of excitation spreading in random networks. Comment: 7 pages, 7 figures, submitted to epl
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.7989 Zobrazit plný text záznamu View this record from Arxiv