<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Intermittent transition to chaos in vibroimpact system

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Intermittent transition to chaos in vibroimpact system"}

Chaotic behaviour of dynamical systems, their routes to chaos, and the intermittency in particular are interesting and investigated subjects in nonlinear...

Intermittent transition to chaos in vibroimpact system

Published Online: Dec 01, 2018

Page range: 475 - 486

Received: Aug 29, 2018

Accepted: Nov 29, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00037

Keywords
vibroimpact system, chaotic behaviour, route to chaos, intermittency, continuous wavelet transform, surface of wavelet coefficients

© 2018 V.A. Bazhenov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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Intermittent transition to chaos in vibroimpact system

Published Online: Dec 01, 2018

Page range: 475 - 486

Received: Aug 29, 2018

Accepted: Nov 29, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00037

Keywordsvibroimpact system, chaotic behaviour, route to chaos, intermittency, continuous wavelet transform, surface of wavelet coefficients

© 2018 V.A. Bazhenov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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Keywords
vibroimpact system, chaotic behaviour, route to chaos, intermittency, continuous wavelet transform, surface of wavelet coefficients