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Impact dynamics of large dimensional systems

Research output: Working paperWorking paper and Preprints

Original languageEnglish
StatePublished - Feb 2006


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 gives good agreement with the numerical results for large impact probability. A refinement of this model improves the agreement at lower impact probability values

Research areas

  • many dimensional systems, engineering mathematics, piecewise smooth systems, graph theory

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