Liénard and Riccati differential equations related via Lie Algebras

Isaac A. García; Jaume Giné; Jaume Llibre

doi:10.3934/dcdsb.2008.10.485

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2008, Volume 10, Issue 2&3: 485-494. Doi: 10.3934/dcdsb.2008.10.485

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Liénard and Riccati differential equations related via Lie Algebras

1.
Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida
2.
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona

Received: August 31, 2006

Revised: May 31, 2007

Published: August 2008

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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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Mathematics Subject Classification: Primary 34C05, 34C14, 34A05, 22E05.

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