Abstract
© 2016, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. 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.
Original language | English |
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Pages (from-to) | 1550-1561 |
Journal | Computational and Applied Mathematics |
Volume | 37 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 May 2018 |
Keywords
- Averaging theory
- Continuous piecewise linear differential systems
- Discontinuous piecewise linear differential systems
- Michelson system
- Periodic solutions