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References
Dumortier, F.-Singularities of Vector Fields on the Plane, J. Diff. Eq., 23, 53–106 (1977).
Gonzales, E.A.V.-Generic properties of polynomials vector fields at infinity, Trans. of A.M.S., 143, 1969.
Kelley, A.-The stable, center-stable, center, center unstable and unstable manifolds. Appendix C in "Tranversal mappings and flows" by R Abraham and J. Robbin, Benjamin, New York, 1967.
Lefschetz, Differential Equations: Geometric Theory, Interscience Publishers, New York, 1957.
Liénard, A.-Étude des oscillations entretenues, Revue Génerale de l'Électricité 23: 901–912, 946–954 (1928)
Ryckov, G.S.-The maximal number of limit cycles of the system \(\dot y = - x,\dot x = y - \mathop \Sigma \limits_{i = 0}^2 a_i x^{2i + 1}\)is equal to two, Differential' 11 (1975), 390–391, 400.
Van der Pol, B. On oscillation hysteresis in a triode generator with two degrees of freedom. Phil. Mag (6) 43, 700–719 (1922).
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Lins, A., de Melo, W., Pugh, C.C. (1977). On Liénard's equation. In: Palis, J., do Carmo, M. (eds) Geometry and Topology. Lecture Notes in Mathematics, vol 597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085364
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DOI: https://doi.org/10.1007/BFb0085364
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