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.
| Translated title of the contribution | Impact dynamics of large dimensional systems |
|---|---|
| Original language | English |
| Pages (from-to) | 561 - 573 |
| Number of pages | 13 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 17 (2) |
| DOIs | |
| Publication status | Published - Feb 2007 |