On flow switching bifurcations in discontinuous dynamical systems |
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Affiliation: | 1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan, Shandong 250014, PR China;2. School of Science, Shandong Jiaotong University, Ji’nan, Shandong 250357, PR China |
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Abstract: | In paper, the sliding dynamics on the separation boundary is discussed based on the set-valued vector field theory. From vector fields in the neighborhood of a specific separation boundary, the passability of the flow from the one domain into another one is further discussed. The switching bifurcation conditions from the passable boundary to the non-passable boundary are developed. The sliding flow fragmentation on the separation boundary surface is also presented. The normal vector product field function is introduced to determine the switching bifurcation and sliding fragmentation. |
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