Llibre, JaumeMessias, Marcelo [UNESP]Da Silva, Paulo Ricardo [UNESP]2014-05-202014-05-202010-10-01International Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 20, n. 10, p. 3137-3155, 2010.0218-1274http://hdl.handle.net/11449/7118In this paper by using the Poincare compactification of R(3) we describe the global dynamics of the Lorenz system(x) over dot = s(-x + y), (y) over dot = rx - y - xz, (z) over dot = -bz + xy,having some invariant algebraic surfaces. of course ( x, y, z) is an element of R(3) are the state variables and (s, r, b) is an element of R(3) are the parameters. For six sets of the parameter values, the Lorenz system has invariant algebraic surfaces. For these six sets, we provide the global phase portrait of the system in the Poincare ball (i.e. in the compactification of R(3) with the sphere S(2) of the infinity).3137-3155engIntegrabilityLorenz systemPoincare compactificationdynamics at infinity invariant algebraic surfaceArtigo10.1142/S0218127410027593WOS:000286430000006Acesso restrito375722566905631760509558611681610000-0002-1430-5986