Invariants of real singularities, pairs of germs and classification problems
Sufficient conditions for the realization of Lyapunov graphs as Gutierrez-Sotomayo...
Cyclicity and local structural stability of piecewise vector fields
| Full text | |
| Author(s): |
Mancini, Solange
;
Manoel, Miriam
;
Teixeira, Marco Antonio
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 12, n. 4, p. 657-674, Apr. 2005. |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Abstract | |
In this work we show that the smooth classification of divergent diagrams of folds (f(1),..., f(s)) : (R-n, 0) -> (R-n x(...)xR(n), 0) can be reduced to the classification of the s-tuples (p(1)., W) of associated involutions. We apply the result to obtain normal forms when s <= n and {p(1),...,p(s)} is a transversal set of linear involutions. A complete description is given when s = 2 and n >= 2. We also present a brief discussion on applications of our results to the study of discontinuous vector fields and discrete reversible dynamical systems. (AU) | |
| FAPESP's process: | 03/03107-9 - Qualitative theory of differential equations and singularity theory |
| Grantee: | Carlos Teobaldo Gutierrez Vidalon |
| Support Opportunities: | Research Projects - Thematic Grants |