Transitional regimes under route to chaos in vibroimpact system




vibroimpact system, route to chaos, transitional regime, Poincaré map, Fourier spectrum, continuous wavelet transform


In recent years in nonlinear dynamics particular attention was paid to studying the chaotic behaviour of dynamical systems and their routes to chaos. Sometimes this route may be intricate. We watched such intricate route to chaos when studying the quasi-periodic route to chaos in strongly nonlinear non-smooth discontinuous vibroimpact system that was two-body 2-DOF one. After Neimark-Sacker bifurcation many different regimes replace each other. There are transitional regimes with inconsistent characteristics among them. We analyze these regimes with continuous wavelet transform CWT applying. CWT plots confirm just their transition kind and give clear picture of different frequencies presence in time series and their distribution in time.

Author Biographies

Viktor Bazhenov, Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Professor, Academician of the National Academy of Pedagogical Sciences of Ukraine, Head of the Department of Structural Mechanics

Olga Pogorelova, Kyiv National University of Construction and Architecture

Candidate of Sciences (Physics and Mathematics), Senior Researcher at the Institute of Structural Mechanics

Tatiana Postnikova, Kyiv National University of Construction and Architecture

Candidate of Technical Sciences, Senior Researcher at the Institute of Structural Mechanics


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