Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems

Abstract

In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x′=y, y′=−fm(x)y−gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.

Keywords

• Liénard differential systems
• invariant algebraic curve
• first integrals