Academic Journal
A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves
| العنوان: | A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves |
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| المؤلفون: | Giné, Jaume, Llibre, Jaume |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2022 |
| المجموعة: | Universitat de Lleida: Repositori Obert UdL |
| مصطلحات موضوعية: | Liénard polynomial differential systems, Invariant algebraic curve, First integrals |
| الوصف: | 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. ; The author is partially supported by the Agencia Estatal de Investigación grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2017SGR 1276. The second author is partially supported by the Agencia Estatal de Investigación grant PID2019-104658GB-I00, and the H2020 European Research Council grant MSCA-RISE-2017-777911. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 0960-0779 |
| Relation: | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00/ES/ANALISIS CUALITATIVO, INTEGRABILIDAD Y BIFURCACIONES EN SISTEMAS DINAMICOS CONTINUOS/; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104658GB-I00/ES/ESTUDIO DE LOS SISTEMAS DINAMICOS CONTINUOS Y DISCRETOS CON ENFASIS EN SUS BIFURCACIONES, ORBITAS PERIODICAS E INTEGRABILIDAD/; Reproducció del document publicat a https://doi.org/10.1016/j.chaos.2022.112075; Chaos, Solitons & Fractals, 2022, vol. 158, 112075; info:eu-repo/grantAgreement/EC/H2020/777911/EU/Dynamics; http://hdl.handle.net/10459.1/84042; https://doi.org/10.1016/j.chaos.2022.112075 |
| DOI: | 10.1016/j.chaos.2022.112075 |
| الاتاحة: | http://hdl.handle.net/10459.1/84042 https://doi.org/10.1016/j.chaos.2022.112075 |
| Rights: | cc-by-nc-nd (c) Jaume Giné, Jaume Llibre, 2022 ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.C5B32D84 |
| قاعدة البيانات: | BASE |
| تدمد: | 09600779 |
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| DOI: | 10.1016/j.chaos.2022.112075 |