Artículos de revistas
Slow–fast systems and sliding on codimension 2 switching manifolds
Fecha
2019-01-01Registro en:
Dynamical Systems.
1468-9375
1468-9367
10.1080/14689367.2019.1579782
2-s2.0-85062463444
6050955861168161
0000-0002-1430-5986
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this work, we consider piecewise smooth vector fields X defined in R n \ ∑, where Σ is a self-intersecting switching manifold. A double regularization of X is a 2-parameter family of smooth vector fields X ε.η , ε,η > 0 satisfying that X ε,η converges uniformly to X in each compact subset of R n \ ∑ when ε, η → 0. We define the sliding region on the non-regular part of Σ as a limit of invariant manifolds of X ε.η . Since the double regularization provides a slow–fast system, the GSP-theory (geometric singular perturbation theory) is our main tool.