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- W4224884093 abstract "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 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 Liénard polynomial differential system. This fact does not hold for arbitrary polynomial differential systems. Primary 34A05. Secondary 34C05, 37C10." @default.
- W4224884093 created "2022-04-27" @default.
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- W4224884093 date "2022-05-01" @default.
- W4224884093 modified "2023-09-30" @default.
- W4224884093 title "A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves" @default.
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- W4224884093 doi "https://doi.org/10.1016/j.chaos.2022.112075" @default.
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