A Generalization Of Global Topological Linearization Theorem

The classical conclusions of topological linearization of the differential equation (none of the eigenvalues of A has zero real part) are given by and . But, their conclusion are only limited to the small neighborhood of origin. If the system can be globally linearlized then must be bounded.What we discuss is the system We points out that the system can be topological linearlized under some conditions. Then, we can obtain more general conclusion.