Advanced search
Start date
Betweenand


Limit cycles for two classes of control piecewise linear differential systems

Full text
Author(s):
Llibre, Jaume ; Oliveira, Regilene D. ; Rodrigues, Camila Ap B.
Total Authors: 3
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 14, n. 1, p. 17-pg., 2020-01-17.
Abstract

We study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x. = A 0 x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x. = A 0x +..(Ax +..(x 1)b), where is a continuous or discontinuous piecewise linear function, A 0 is a 2n x 2n matrix with only purely imaginary eigenvalues, is a small parameter, A is an arbitrary 2n x 2n matrix, and b is an arbitrary vector of R-n. (AU)

FAPESP's process: 14/00304-2 - Singularities of differentiable mappings: theory and applications
Grantee:Maria Aparecida Soares Ruas
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/20854-5 - Qualitative theory of ordinary differential equations: integrability, periodic orbits and phase portraits
Grantee:Regilene Delazari dos Santos Oliveira
Support Opportunities: Regular Research Grants