Non-smooth Analysis of a Class of Filippov Systems with Two Frequency Scales
Journal Title: 河南科技大学学报（自然科学版） - Year 2017, Vol 38, Issue 5
Abstract
Based on the coupling Bohoffer-Van der Pol ( BVP) circuit system with a non-smooth boundary, a Filippov system with two frequency scales was established by introducing a periodically changed current source. By utilizing the theory of differential inclusions, the mechanism of interaction between scale factor and non-smooth factor was analyzed. Suitable parameter values were selected so that an order gap existed between the driving frequency and the natural frequency. The complex periodic bursting oscillation with a sliding structure and corresponding generation mechanism were obtained according to the theoretical analysis. And numerical results support the theoretical analysis.
Authors and Affiliations
Xiufang YANG, Zhengdi ZHANG, Shaolong LI, Qinsheng BI
Keywords
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