Nonlinear perturbations of Fuchsian systems: corrections and linearization, normal forms

Preprint
Publisher Website
Google Scholar
  • 15 June 2007
Abstract
Nonlinear perturbation of Fuchsian systems are studied in a region including two or more singularities. It is proved that such systems are generally not analytically equivalent to their linear part (they are not linearizable) and the obstructions are found constructively, as a countable set of numbers. It is also shown that there exists a unique "correction" of the nonlinear part so that the "corrected" system is formally linearizable. Normal forms of these systems are found, providing also their classification.

This publication has 0 references indexed in Scilit: