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On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system

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Author(s):
Llibre, Jaume ; Oliveira, Regilene ; Rodrigues, Camila Ap B.
Total Authors: 3
Document type: Journal article
Source: COMPUTATIONAL & APPLIED MATHEMATICS; v. 37, n. 2, p. 12-pg., 2018-05-01.
Abstract

Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michelson differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. The tools here used can be applied to general nonsmooth differential systems. (AU)

FAPESP's process: 14/00304-2 - Singularities of differentiable mappings: theory and applications
Grantee:Maria Aparecida Soares Ruas
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 12/22000-0 - Averaging method for Filippov systems
Grantee:Camila Aparecida Benedito Rodrigues de Lima
Support Opportunities: Scholarships in Brazil - Master