Impact dynamics of large dimensional systems

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)


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 contributionImpact dynamics of large dimensional systems
Original languageEnglish
Pages (from-to)561 - 573
Number of pages13
JournalInternational Journal of Bifurcation and Chaos
Volume17 (2)
Publication statusPublished - Feb 2007

Bibliographical note

Publisher: World Scientific

Structured keywords

  • Engineering Mathematics Research Group


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