Browsing Articles publicats (Matemàtica) by Subject "Limit cycles"
Now showing items 1-4 of 4
(Elsevier, 2013-05)We provide a recurrence formula for the coefficients of the powers of ε in the series expansion of the solutions around ε=0 of the perturbed first-order differential equations. Using it, we give an averaging theory at any ...
(Texas State University. Department of Mathematics, 2014)This article presents sufficient conditions for the non-existence of limit cycles for planar vector fields. Classical methods for the nonexistence of limit cycles are connected with the theory developed here.
(Walter de Gruyter GmbH, 2018)In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
(Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997)Let (P, Q) be a C 1 vector field defined in a open subset U ⊂ R2 . We call a null divergence factor a C 1 solution V (x, y) of the equation P ∂V + Q ∂V = ∂P + ∂Q V . In previous works ∂x ∂y ∂x ∂y it has been ...