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The Global Dynamics of Impact Oscillators

Chapter
Part of the NATO ASI Series book series (ASIC, volume 464)

Abstract

Impact oscillators arise whenever the components of an oscillator collide with each other or with rigid obstacles. Broadly speaking an impact oscillator combines the behaviour of systems which have smooth dynamics between collisions (or impacts)with discontinuous changes in the dynamics at each impact. Such systems arise frequently in applications both in engineering and in physics and their behaviour can be remarkably rich. They are important, not only because they simulate many real phenomena but also because they introduce much new mathematics and lead naturally to the study of discontinuous dynamical systems. The purpose of these notes is to give an introduction both to the rich variety of the dynamical behaviour of these systems and also to the new mathematical techniques involved in their study.

Keywords

Impact Velocity Periodic Motion Chaotic Motion Strange Attractor Global Dynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  1. 1.School of MathematicsUniversity of Bristol University WalkBristolUK

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