Linearization of hyperbolic resonant germs

In this paper we develop an explicit normal form conjugacy procedure, called an 'LMT normal form', to study linearization of a smooth vector field in the neighbourhood of a hyperbolic equilibrium point with resonant eigenvalues. We give an asymptotic expression for such a linearization in terms of functions of Logarithmic Mourtada type.Mathematics, AppliedPhysics, MathematicalSCI(E)EI0ARTICLE169-881