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Removable paths and cycles with parity constraints
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2014)
Limit cycles in planar piecewise linear differential systems with nonregular separation line
(2016-12-15)
In this paper we deal with planar piecewise linear differential systems defined in two zones. We consider the case when the two linear zones are angular sectors of angles α and 2π−α, respectively, for α∈(0,π). We study the ...
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
(Elsevier B.V., 2015-04-01)
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number ...
A weaker version of Lovasz' path removal conjecture
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2008)
Non-separating paths in 4-connected graphs
(Birkhauser Verlag AgBaselSuíça, 2005)
Thermal cycling memory in phase separated manganites
(Elsevier, 2019-06)
We have studied the irreversibility of the magnetization induced by thermal cycles in La0.5Ca0.5MnO3 manganites, which present a low temperature state characterized by the coexistence of phases. The effect is evidenced by ...
Limit cycles bifurcating from discontinuous centres
(Oxford Univ Press, 2017-08-01)
In this article, we study limit cycles in discontinuous piecewise linear vector fields in R-2 and R-3. More precisely, we address the problem of understanding the dynamics around a degenerated two-fold singularity in R-2 ...
Center boundaries for planar piecewise-smooth differential equations with two zones
(2017-01-01)
This paper is concerned with 1-parameter families of periodic solutions of piecewise smooth planar vector fields, when they behave like a center of smooth vector fields. We are interested in finding a separation boundary ...