Intermittent transition to chaos in vibroimpact system

• Autores: V.A. Bazhenov, O.S. Pogorelova, T.G. Postnikova
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 2, 2018, págs. 475-486
• Idioma: inglés
• DOI: 10.2478/amns.2018.2.00037
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• Resumen

  • Chaotic behaviour of dynamical systems, their routes to chaos, and the intermittency in particular are interesting and investigated subjects in nonlinear dynamics. The studying of these phenomena in non-smooth dynamical systems is of the special scientists’ interest. In this paper we study the type-III intermittency route to chaos in strongly nonlinear non-smooth discontinuous 2-DOF vibroimpact system. We apply relatively new mathematical tool – continuous wavelet transform CWT – for investigation this phenomenon. We show that CWT applying allows to detect and determine the chaotic motion and the intermittency with great confidence and reliability, gives the possibility to demonstrate intermittency route to chaos, to distinguish and analyze the laminar and turbulent phases.