Grazing solutions of non-autonomous system with variable moments of impulses are examined. Appropriate definitions for vertical and horizontal grazing in non-autonomous systems are given and interpreted geometrically. The linearization for the periodic solutions which have vertical or horizontal grazing is obtained. Examples are presented to demonstrate the practicality of our results and they are visualized by the simulations.


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Citation Formats
M. Akhmet, “VERTICAL AND HORIZONTAL GRAZING,” DYNAMIC SYSTEMS AND APPLICATIONS, pp. 131–145, 2017, Accessed: 00, 2020. [Online]. Available: