@article{da0f95dc034348e98122bfbdae1b08a2,
title = "Impact dynamics of large dimensional systems",
abstract = "In this paper we present a model of impact dynamics in large dimensional systems. We describe a hybrid method, based on graph theory and probability theory, which enables us qualitatively to model the statistics of global dynamics as parameters are varied. Direct numerical simulation reveals a sudden jump from no impacts within the system to many repeated impacts at a critical value of system parameters. We show that a simple model of the most likely number of impacts also possesses a sudden jump and provides good agreement with the numerical results for large impact probability. A refinement of this model improves the agreement at lower impact probability values.",
author = "ME Homer and SJ Hogan",
note = "Publisher: World Scientific",
year = "2007",
month = feb,
doi = "10.1142/S0218127407017422",
language = "English",
volume = "17 (2)",
pages = "561 -- 573",
journal = "International Journal of Bifurcation and Chaos",
issn = "1793-6551",
publisher = "World Scientific Publishing Co.",
}