Artículos de revistas
LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION
Registro en:
International Journal Of Bifurcation And Chaos. World Scientific Publ Co Pte Ltd, v. 23, n. 4, 2013.
0218-1274
WOS:000319129000011
10.1142/S0218127413500661
Autor
Llibre, J
Teixeira, MA
Torregrosa, J
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) In this paper, we provide a lower bound for the maximum number of limit cycles of planar discontinuous piecewise linear differential systems defined in two half-planes separated by a straight line. Here, we only consider nonsliding limit cycles. For those systems, the interior of any limit cycle only contains a unique equilibrium point or a unique sliding segment. Moreover, the linear differential systems that we consider in every half-plane can have either a focus (F), or a node (N), or a saddle (S), these equilibrium points can be real or virtual. Then, we can consider six kinds of planar discontinuous piecewise linear differential systems: FF, FN, FS, NN, NS, SS. We provide for each of these types of discontinuous differential systems examples with two limit cycles. 23 4 MICIIN/FEDER [MTM2008-03437] AGAUR [2009SGR-0410] ICREA Academia Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) MICIIN/FEDER [MTM2008-03437] AGAUR [2009SGR-0410] FAPESP [2007/06896-5] CAPES [PHB-2009-0025-PC]