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• One-dimensional chaos in a system with dry friction: analytical approach

  Publikacja

  • N. Begun
  • S. Kryzhevich

  - MECCANICA - Rok 2015

  We introduce a new analytical method, which allows to find chaotic regimes in non-smooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction element is considered. The corresponding mathematical model is being studied. We show that the considered dynamical system is a skew product over a piecewise smooth mapping of a segment (the so-called base map). For this base map we demonstrate existence of...

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