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Structural stability of vector fields with shadowing
- Source :
-
Journal of Differential Equations . Jan2007, Vol. 232 Issue 1, p303-313. 11p. - Publication Year :
- 2007
-
Abstract
- Abstract: Let X be a vector field without singularities. In this paper, we show that X is in the interior of the set of vector fields with the shadowing property if and only if X satisfies both Axiom A and the strong transversality condition; that is, X is structurally stable. [Copyright &y& Elsevier]
- Subjects :
- *VECTOR analysis
*STRUCTURAL stability
*UNIVERSAL algebra
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 232
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 22935217
- Full Text :
- https://doi.org/10.1016/j.jde.2006.08.012