Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

Celso Grebogi, L. Dzyubak, J. Awrejcewicz

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems. The introduced method is applied to trace regular and chaotic stick-slip and slip-slip dynamics. Stick-slip and slip-slip periodic and chaotic trajectories are analyzed (for the investigated parameters, a stick-slip dynamics dominates). Advantages of the proposed numerical technique are given.

Original languageEnglish
Pages (from-to)383-394
Number of pages11
JournalNonlinear Dynamics
Volume42
DOIs
Publication statusPublished - 2005

Keywords

  • coupled oscillators
  • chaotic dynamics
  • stick-slip
  • slip-slip motion
  • DYNAMICS
  • SYSTEMS
  • FREEDOM
  • ORBITS

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