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| Home > Articles > Published articles > On the crossing limit cycles for piecewise linear differential systems separated by a straight line and having symmetric equilibrium points |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universidade Federal de Goiás. Instituto de Matemática e Estatística)
| Date: | 2022 |
| Abstract: | In this paper we study the maximum number of crossing limit cycles that can have the planar piecewise linear differential systems separated by a straight line Σ and formed by two linear differential systems X−, X+ which singularities are symmetrical with respect to the straight line of discontinuity Σ. More precisely, the singularities points of the linear differential systems X−, X+ considered can be a center (C), a focus (F), a diagonalizable node (N), an improper node (iN) or a saddle (S), which can be real or virtual. Then we have fourteen cases depending of the type and the position of the singularities of X− and X+. Here we provide lower or upper bounds for the maximum number of crossing limit cycles for each case. |
| Grants: | Agencia Estatal de Investigación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
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| Language: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Subject: | Discontinuous piecewise linear differential centers ; Limit cycles ; Conics |
| Published in: | Dynamics of continuous, discrete and impulsive systems, Vol. 29, Num. 4b (2022) , p. 253-283, ISSN 1918-2538 |
27 p, 672.0 KB |
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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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