LET US STUDY THE DIFFERENTIAL SYSTEM: x' = -2.0000000000*x^2*y-2.*x*y^2+3.*x^2-y^2-y y' = 2.*x^2*y-2.0000000000*x*y^2-2.*y^3-2*x*y+x AT THE FINITE REGION (0.,0.) is a weak focus. V(3)=1.5 The order of weakness is 1 Lyapunov constant is -1.5 We have a stable singularity. ######################################################## (-.399992102483895,.345533929655377) is a saddle point. The ratio between eigenvalues is 7175495:-14087648 (approximation) ######################################################## (.674702820150500,.457474517304046) is a saddle point. The ratio between eigenvalues is 14147292:-18917711 (approximation) ######################################################## (1.59262350378389,.805664923761200) is a strong stable focus. ######################################################## (-.841492692265812,1.63274357403361) is a stable node. The ratio between eigenvalues is 61398413:120861645 (approximation) ######################################################## (2.10781578188909,-2.80611150880026) is a strong unstable focus. ########################################################