TY - JOUR
TI - Numerical studies on a piecewise smooth vibro-impact system in parameters-state spaces
AU - Li Xianfeng
AU - Yang Zhe
AU - Ma Guofeng
AU - Zhang Hui
JN - Thermal Science
PY - 2026
VL - 30
IS - 2
SP - 1137
EP - 1145
PT - Article
AB - 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.
DO - 10.2298/TSCI2602137L
ER -