Crossing limit cycles for a class of piecewise linear differential centers separated by a conic
Date
2020-05-07
Authors
Jimenez, Johana
Llibre, Jaume
Medrado, Joao C.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In previous years the study of the version of Hilbert's 16th problem for piecewise linear differential systems in the plane has increased. There are many papers studying the maximum number of crossing limit cycles when the differential system is defined in two zones separated by a straight line. In particular in [11, 13] it was proved that piecewise linear differential centers separated by a straight line have no crossing limit cycles. However in [14, 15] it was shown that the maximum number of crossing limit cycles of piecewise linear differential centers can change depending of the shape of the discontinuity curve. In this work we study the maximum number of crossing limit cycles of piecewise linear differential centers separated by a conic.
Description
Keywords
Discontinuous piecewise linear differential centers, Limit cycles, Conics
Citation
Jimenez, J., Llibre, J., & Medrado, J. C. (2020). Crossing limit cycles for a class of piecewise linear differential centers separated by a conic. <i>Electronic Journal of Differential Equations, 2020</i>(41), pp. 1-36.
Rights
Attribution 4.0 International