| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Pessoa, Claudio | |
| dc.creator | Sotomayor, Jorge | |
| dc.date | 2014-05-20T14:02:56Z | |
| dc.date | 2014-05-20T14:02:56Z | |
| dc.date | 2012-09-22 | |
| dc.date.accessioned | 2017-04-05T21:28:50Z | |
| dc.date.available | 2017-04-05T21:28:50Z | |
| dc.identifier | Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 15, 2012. | |
| dc.identifier | 1072-6691 | |
| dc.identifier | http://hdl.handle.net/11449/22171 | |
| dc.identifier | WOS:000310454000002 | |
| dc.identifier | WOS000310454000002.pdf | |
| dc.identifier | http://ejde.math.txstate.edu/ | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/867629 | |
| dc.description | Let N = {y > 0} and S = {y < 0} be the semi-planes of R-2 having as common boundary the line D = {y = 0}. Let X and Y be polynomial vector fields defined in N and S, respectively, leading to a discontinuous piecewise polynomial vector field Z = (X, Y). This work pursues the stability and the transition analysis of solutions of Z between N and S, started by Filippov (1988) and Kozlova (1984) and reformulated by Sotomayor-Teixeira (1995) in terms of the regularization method. This method consists in analyzing a one parameter family of continuous vector fields Z(epsilon), defined by averaging X and Y. This family approaches Z when the parameter goes to zero. The results of Sotomayor-Teixeira and Sotomayor-Machado (2002) providing conditions on (X, Y) for the regularized vector fields to be structurally stable on planar compact connected regions are extended to discontinuous piecewise polynomial vector fields on R-2. Pertinent genericity results for vector fields satisfying the above stability conditions are also extended to the present case. A procedure for the study of discontinuous piecewise vector fields at infinity through a compactification is proposed here. | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.language | eng | |
| dc.publisher | Texas State Univ | |
| dc.relation | Electronic Journal of Differential Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Structural stability | |
| dc.subject | piecewise vector fields | |
| dc.subject | compactification. | |
| dc.title | STABLE PIECEWISE POLYNOMIAL VECTOR FIELDS | |
| dc.type | Otro | |
