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Successional stability of vector fields in dimension three (1998).
| Content Provider | CiteSeerX |
|---|---|
| Author | Schreiber, Sebastian J. |
| Abstract | Abstract. A topological invariant, the community transition graph, is intro-duced for dissipative vector fields that preserve the skeleton of the positive orthant. A vector field is defined to be successionally stable if it lies in an open set of vector fields with the same community transition graph. In dimen-sion three, it is shown that vector fields for which the origin is a connected component of the chain recurrent set can be approximated in the C1 Whitney topology by a successionally stable vector field. 1. |
| File Format | |
| Publisher Date | 1998-01-01 |
| Access Restriction | Open |
| Subject Keyword | Vector Field Successional Stability Community Transition Graph Stable Vector Field Connected Component Chain Recurrent Positive Orthant Dissipative Vector Field C1 Whitney Topology Topological Invariant Open Set |
| Content Type | Text |
| Resource Type | Article |
