Castro, Matheus M.
Martins, Ricardo M.
Novaes, Douglas D.
Total Authors: 3
 Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ - England
 Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Journal of Differential Equations;
APR 25 2021.
Web of Science Citations:
The Vishik's Normal Form provides a local smooth conjugation with a linear vector field for smooth vector fields near contacts with a manifold. In the present study, we focus on the analytic case. Our main result ensures that for analytic vector field and manifold, the conjugation with the Vishik's normal form is also analytic. As an application, we investigate the analyticity of Poincare Half Maps defined locally near contacts between analytic vector field and manifold. (C) 2021 Elsevier Inc. All rights reserved. (AU)