TY - JOUR
T1 - Limit cycles of continuous and discontinuous
piecewise-linear differential systems in R
3
AU - de Freitas, B.R.
AU - Llibre, J.
AU - Medrado, J.C.
PY - 2018
Y1 - 2018
N2 - We study the limit cycles of two families of piecewise-linear differential systems in R 3 with two pieces separated by a plane Σ. In one family the differential systems are continuous on the plane Σ, and in the other family they are discontinuous on the plane Σ. The usual tool for studying these limit cycles is the Poincaré map, but here we shall use recent results which extend the averaging theory to continuous and discontinuous differential systems. All the computations have been done with the algebraic manipulator Mathematica
AB - We study the limit cycles of two families of piecewise-linear differential systems in R 3 with two pieces separated by a plane Σ. In one family the differential systems are continuous on the plane Σ, and in the other family they are discontinuous on the plane Σ. The usual tool for studying these limit cycles is the Poincaré map, but here we shall use recent results which extend the averaging theory to continuous and discontinuous differential systems. All the computations have been done with the algebraic manipulator Mathematica
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85042693622&partnerID=MN8TOARS
UR - https://www.scopus.com/pages/publications/85042693622
U2 - 10.1016/j.cam.2018.01.028
DO - 10.1016/j.cam.2018.01.028
M3 - Article
SN - 0377-0427
VL - 338
SP - 311
EP - 323
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -