Linearization from Complex Lie Point Transformations

[摘要] Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimensiond, withd≤4. We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. Furthermore we provide a geometrical construction of the procedure adopted that provides an analogue inR3of the linearizability criteria inR2.

[学科分类] 应用数学