Liénard and Riccati differential equations related via lie algebras

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Abstract

In this work we study the Liénard systems that can be transformed into Riccati differential equations, using changes of variables more general than the ones used by the classical Lie theory.

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García, I. A., Giné, J., & Llibre, J. (2008). Liénard and Riccati differential equations related via lie algebras. Discrete and Continuous Dynamical Systems - Series B, 10(2–3), 485–494. https://doi.org/10.3934/dcdsb.2008.10.485

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