STRUCTURAL STABILITY ON TWO-DIMENSIONAL MANIFOLDS,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1961
- Accession Number
- AD0610671
Entities
People
- M. M. Peixoto
Organizations
- Federal University of Rio de Janeiro