Display Abstract

Title Chatter Dynamics on Impulsive Surfaces in Impulsive Differential Systems via the Theory of flow switchability

Name Xilin Fu
Country Peoples Rep of China
Email xilinfu@hotmail.com
Co-Author(s)
Submit Time 2014-04-11 12:48:52
Session
Special Session 114: Nonstandard Analysis, Quantizations and Singular Perturbations
Contents
Abstract In this talk, the phenomenon of free vibrations in LC circuit is introduced as well as some restrictions in the application of triode. Then we optimize the problems and present a certain kind of Van der Pol Equations which can be considered as a class of second-order impulsive switched systems. To investigate the chatter dynamics on such system, we turn to look for conditions that keep the complex pulse phenomena absent. We introduce several conceptions of theory of flow switchability and analyze the flow's dynamical behaviors such as transversal property at a boundary in the normal direction of separation surface by constructing generic mappings. Some sufficient conditions for the absence of pulse phenomena are obtained.