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Successional stability of vector fields in dimension three
| Content Provider | Semantic Scholar |
|---|---|
| Author | Schreiber, Sebastian J. |
| Copyright Year | 1999 |
| Abstract | A topological invariant, the community transition graph, is introduced 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 dimension 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. |
| Starting Page | 993 |
| Ending Page | 1002 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-99-05169-2 |
| Volume Number | 127 |
| Alternate Webpage(s) | http://www.eve.ucdavis.edu/sschreiber/reprints/pams98.pdf |
| Alternate Webpage(s) | https://www.ams.org/journals/proc/1999-127-04/S0002-9939-99-05169-2/S0002-9939-99-05169-2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-99-05169-2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
