A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves
نویسندگان
چکیده
The generalized Liénard polynomial differential systems are the of form x′ = y, y′ − f(x)y g(x), where f and g polynomials. We characterize all having an invariant algebraic curve. show that first four higher coefficients in variable defining curve, determine completely system. This fact does not hold for arbitrary systems. Primary 34A05. Secondary 34C05, 37C10.
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ژورنال
عنوان ژورنال: Chaos Solitons & Fractals
سال: 2022
ISSN: ['1873-2887', '0960-0779']
DOI: https://doi.org/10.1016/j.chaos.2022.112075