RT Journal Article
T1 Piecewise smooth systems with a pseudo-focus: A normal form approach
A1 Esteban, Marina
A1 Freire, Emilio
A1 Ponce, Enrique
A1 Torres, Francisco
K1 Bifurcations
K1 Normal forms
K1 Non-smooth systems
K1 Pseudo-focus
AB To cope with higher degenerations, some previous results about computable normal forms are extended for two dimensional systems having a pseudo-focus within its discontinuity line. More precisely, it is shown how the standard theory of normal forms allows the analysis of pseudo-focus points when the contact order with the discontinuity boundary, being even for both vector fields, is different from each side. Once obtained the associated canonical forms, the computation of half-return maps is almost direct, and the characterization of the pseudo-focus becomes an easier task.While the methodology is developed in its entire generality, an illustrating example with contacts of order 2 and 4 is studied in detail.
PB Elsevier
YR 2023
FD 2023-01-03
LK https://hdl.handle.net/10433/22243
UL https://hdl.handle.net/10433/22243
LA en
NO Marina Esteban, Emilio Freire, Enrique Ponce, Francisco Torres, Piecewise smooth systems with a pseudo-focus: A normal form approach, Applied Mathematical Modelling, Volume 115, 2023, Pages 886-897, ISSN 0307-904X, https://doi.org/10.1016/j.apm.2022.08.006.
NO Departamento de Economía, Métodos Cuantitativos e Historia Económica. Universidad Pablo de Olavide.
DS RIO
RD May 7, 2026