Linearization from Complex Lie Point Transformations

Abstract EN

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 dimension d , with d ≤ 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 in R 3 of the linearizability criteria in R 2 .