期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 120, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2020.103403
关键词
Degenerate grazing bifurcation; Impact oscillators; Two-parameter bifurcation analysis; GPU computing
类别
资金
- Key Program of National Natural Science Foundation of China [11832009]
- National Natural Science Foundation of China [11672104]
- Applied Basic Research Program of Shanxi Province of China [201801D121021]
Following the previous work on the degenerate grazing bifurcations of impact oscillators, this paper aims to explore novel two-parameter dynamics near the degenerate grazing points using GPU parallel computing technology. By using the technology, a further understanding of the near-grazing dynamics can be developed for impact oscillators. Three main indicators, i.e., the largest Lyapunov exponent, number of excitation periods and number of impacts, are calculated for each grid of the two-parameter plane chosen. Based on these indicators, the dynamic response in the vicinity of degenerate grazing points can be characterized and more dynamic behaviors than the published results can be discovered. Phenomena of coexisting attractors and chaotic transitions including crisis are also discussed. The single and two degree-of-freedom impact oscillators are selected as illustrative examples to demonstrate the results.
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