Accession Number : AD0610671

Title :   STRUCTURAL STABILITY ON TWO-DIMENSIONAL MANIFOLDS,

Corporate Author : BRAZIL UNIV RIO DE JANEIRO

Personal Author(s) : Peixoto,M. M.

Report Date : 1961

Pagination or Media Count : 46

Abstract : It is proved that the set S of all structurally stable vector fields is open and dense in B. B is the space of all vector fields or dynamical systems defined on a twodimensional compact differentiable manifold, M-squared. A vector field X is defined on M-squared is said to be structurally stable when a C(1)-small change in X does not change topologically the set of trajectories of X.

Descriptors :   (*DIFFERENTIAL EQUATIONS, ALGEBRAIC TOPOLOGY), (*ALGEBRAIC TOPOLOGY, DIFFERENTIAL EQUATIONS), TOPOLOGY, SET THEORY, ALGEBRA, INEQUALITIES, MATRICES(MATHEMATICS), DIFFERENTIAL GEOMETRY, PERTURBATION THEORY, BRAZIL

Distribution Statement : APPROVED FOR PUBLIC RELEASE