首页|A characterization of the generalized Lienard polynomial differential systems having invariant algebraic curves
A characterization of the generalized Lienard polynomial differential systems having invariant algebraic curves
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
The generalized Lienard 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 Lienard polynomial differential systems having an invariant algebraic curve. We show that the first four higher coefficients of the polynomial in the variable y, defining the invariant algebraic curve, determine completely the generalized Lienard polynomial differential system. This fact does not hold for arbitrary polynomial differential systems. 2010 mathematics subject classification: Primary 34A05. Secondary 34C05, 37C10. (C) 2022 The Authors. Published by Elsevier Ltd.
NSTL
Elsevier
