THERMAL SCIENCE

International Scientific Journal

Xianfeng Li

,

Zhe Yang

,

Guofeng Ma

,

Hui Zhang

NUMERICAL STUDIES ON A PIECEWISE SMOOTH VIBRO-IMPACT SYSTEM IN PARAMETERS-STATE SPACES

ABSTRACT
The present paper is devoted to the synthesis of Poincare mapping and global dynamics of a class of piecewise smooth vibro-impact systems with preloading. The periodic motions are identified numerically in bi-parameter planes. The transition law and the motion pattern are presented as island-like periodic windows. The coexistence of attractors and their basins of attraction in the state planes is then given by cell-to-cell mappings. The numerical results indicate that new attractors can be induced by boundary crises and grazing bifurcations. In the final analysis, the coexisting attractors in disparate regions of bi-parameter planes are subjected to numerical simulation in the joint parameter-state space. It offers a novel approach to the study of the global dynamics of piecewise smooth systems.
KEYWORDS
piecewise smooth, global dynamics, basins of attraction, parameter-state space
PAPER SUBMITTED: 2024-03-02
PAPER REVISED: 2025-05-23
PAPER ACCEPTED: 2025-05-23
PUBLISHED ONLINE: 2026-04-12
DOI REFERENCE: https://doi.org/10.2298/TSCI2602137L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2026, VOLUME 30, ISSUE No. 2, PAGES [1137 - 1145]
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Numerical studies on a piecewise smooth vibro-impact system in parameters-state spaces

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence