Anote on Vishik's normal form - BV FAPESP
Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Anote on Vishik's normal form

Full text
Author(s):
Castro, Matheus M. [1] ; Martins, Ricardo M. [2] ; Novaes, Douglas D. [2]
Total Authors: 3
Affiliation:
[1] Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ - England
[2] Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Differential Equations; v. 281, p. 442-458, APR 25 2021.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 18/03338-6 - Global dynamics of piecewise smooth dynamical systems
Grantee:Ricardo Miranda Martins
Support Opportunities: Regular Research Grants
FAPESP's process: 18/16430-8 - Global dynamics of nonsmooth differential equations
Grantee:Douglas Duarte Novaes
Support Opportunities: Regular Research Grants
FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/06873-2 - Piecewise smooth and reversible dynamical systems in R^(2n+1): existence of homoclinic trajectories and applications
Grantee:Matheus Manzatto de Castro
Support Opportunities: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 18/13481-0 - Geometry of control, dynamical and stochastic systems
Grantee:Marco Antônio Teixeira
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/23692-6 - Structural stability of piecewise smooth dynamical systems on torus and spheres
Grantee:Matheus Manzatto de Castro
Support Opportunities: Scholarships in Brazil - Master