ON SWITCHABILITY OF A FLOW TO THE BOUNDARY IN A PERIODICALLY EXCITED DISCONTINUOUS DYNAMICAL SYSTEM

摘要

This paper presents the switchability of a flow from one domain into another one through the boundary in the periodically driven, discontinuous dynamical system. The normal vector-field product for a flow switching on the separation boundary is introduced, and the passability condition of a flow to the discontinuous boundary is developed analytically, and the sliding and grazing conditions to the separation boundary are presented as well. Numerical illustrations of periodic motions with and without sliding on the boundary are given, and the normal vector fields are illustrated to show the flow switchability on the discontinuous boundary.