Artículos de revistas
Birth Of Limit Cycles For A Class Of Continuous And Discontinuous Differential Systems In (d+2)-dimension
Registro en:
Dynamical Systems-na Intenational Journal. Taylor & Francis Ltd, v. 31, p. 237 - 250, 2016.
1468-9367
1468-9375
WOS:000382574800001
10.1080/14689367.2015.1102868
Autor
Llibre
Jaume; Teixeira
Marco A.; Zeli
Iris O.
Institución
Resumen
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) The orbits of the reversible differential system x = y, y = x, z =0 w ith x,y is an element of and z is an element of R-d are periodic with the exception of the equilibrium points 0, 0, z 1,., z d). We compute the maximum number of limit cycles which bifurcate from the periodic orbits of the system. x = - y,. y = x,. z = 0, using the averaging theory of first order, when this system is perturbed, first inside the class of all polynomial differential systems of degree n, and second inside the class of all discontinuous piecewise polynomial differential systems of degree n with two pieces, one in y > 0 and the other in y < 0. In the first case, this maximum number is n(d) (n-1)/2, and in the second, it is n(d+1.) 31 3 237 250 MINECO [MTM2013-40998-P] AGAUR [2014SGR-568] FP7-PEOPLE-IRSES [318999, 316338] CAPES from the program CSF-PVE [88881.030454/2013-01] FAPESP-BRAZIL [2012/18780-0, 2012/23591-1, 2013/21078-8] Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)