[hal-00707031] On the Stokes phenomenon of a family of multi-perturbed level-one meromorphic linear differential systems

Given a level-one meromorphic linear differential system we are interested in the behavior of its Stokes-Ramis matrices under the action of a holomorphic perturbation acting on the non-zero Stokes values In particular we show that the Stokes-Ramis matrices of the given system can be expressed as limit of convenient connection matrices of the perturbed systems We believe that this result could provide an efficient tool for the numerical calculation of the Stokes-Ramis matrices No assumption of genericity is made



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