Direct Methods for Stability Analysis of Electrical Power Systems
Intermittent vector fields: theoretical aspects and applications
Averaging theory for finding periodic solutions of Carathéodory differential equat...
Grant number: | 13/21947-6 |
Support Opportunities: | Regular Research Grants |
Duration: | February 01, 2014 - January 31, 2016 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Pedro Toniol Cardin |
Grantee: | Pedro Toniol Cardin |
Host Institution: | Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil |
Abstract
In this project the main goal is to study systems of singularly perturbed ordinary differential equations involving multiple different time scales. The study will encompass both the case where the vector field associated to such systems is smooth, as well as the case where the field vector is non-smooth (Filippov kind). The main feature of such systems is the possibility of working at different time scales. We intend to develop a mathematical theory in order to study these systems. The main goal is to build a theory, inspired by the Geometric Singular Perturbation Theory, for systems involving n different time scales, where n is greater than 2. (AU)
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