Affiliation:
1. Universidade Estadual de Campinas
Abstract
Abstract
The main purpouse of this paper is to prove that a \(C^1\)-diffeomorphism of the form \(\varphi(x) = x + (x_n\varphi_1(x), \ldots, x_n\varphi_{n-1}(x), x_n^2\varphi_n(x))\) is locally topologically equivalent to its linear part under a generic condition.
MSC Classification: 37C15 , 37C05 , 58K40
Publisher
Research Square Platform LLC