Browsing Articles publicats (Matemàtica) by Subject "Invariant algebraic curve"
Now showing items 1-5 of 5
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A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves
(Elsevier, 2022)The generalized Liénard polynomial differential systems are the differential systems of the form x′ = y, y′ = − f(x)y − g(x), where f and g are polynomials. We characterize all the generalized Liénard polynomial ... -
A note on Liouvillian first integrals and invariant algebraic curves
(Elsevier, 2013-02)In this work we study the existence and non-existence of finite invariant algebraic curves for a complex planar polynomial differential system having a Liouvillian first integral. -
Classical planar algebraic curves realizable by quadratic polynomial differential systems
(World Scientific Publishing, 2017-11-15)In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential ... -
Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems
(MDPI, 2022)In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x 0 = y, y 0 = −fm(x)y − gn(x), where the degrees of the polynomials f and g are m and n, respectively, and ... -
The role of algebraic solutions in planar polynomial differential systems
(Cambridge University Press, 2007)We study a planar polynomial differential system, given by . We consider a function , where gi(x) are algebraic functions of with ak(x) and algebraic functions, A0(x,y) and A1(x,y) do not share any common factor, h2(x) is ...