
Accession Number : AD0610671
Title : STRUCTURAL STABILITY ON TWODIMENSIONAL 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, Msquared. A vector field X is defined on Msquared 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