© 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.
- Averaging theory
- Continuous piecewise linear differential systems
- Discontinuous piecewise linear differential systems
- Michelson system
- Periodic solutions