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

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.

Authors:
 [1]; ;  [2]
  1. Universitat Autònoma de Barcelona, Departament de Matemàtiques (Spain)
  2. ICMC-Universidade de São Paulo, Departamento de Matemática (Brazil)
Publication Date:
OSTI Identifier:
22769337
Resource Type:
Journal Article
Journal Name:
Computational and Applied Mathematics
Additional Journal Information:
Journal Volume: 37; Journal Issue: 2; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; PERIODICITY

Citation Formats

Llibre, Jaume, Oliveira, Regilene, and Rodrigues, Camila Ap. B.,. On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system. United States: N. p., 2018. Web. doi:10.1007/S40314-016-0413-X.
Llibre, Jaume, Oliveira, Regilene, & Rodrigues, Camila Ap. B.,. On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system. United States. doi:10.1007/S40314-016-0413-X.
Llibre, Jaume, Oliveira, Regilene, and Rodrigues, Camila Ap. B.,. Tue . "On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system". United States. doi:10.1007/S40314-016-0413-X.
@article{osti_22769337,
title = {On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system},
author = {Llibre, Jaume and Oliveira, Regilene and Rodrigues, Camila Ap. B.,},
abstractNote = {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.},
doi = {10.1007/S40314-016-0413-X},
journal = {Computational and Applied Mathematics},
issn = {0101-8205},
number = 2,
volume = 37,
place = {United States},
year = {2018},
month = {5}
}