| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Buzzi, Claudio Aguinaldo | |
| dc.creator | Llibre, Jaume | |
| dc.creator | Medrado, João Carlos da Rocha | |
| dc.date | 2014-05-20T15:22:56Z | |
| dc.date | 2016-10-25T17:56:45Z | |
| dc.date | 2014-05-20T15:22:56Z | |
| dc.date | 2016-10-25T17:56:45Z | |
| dc.date | 2007-11-15 | |
| dc.date.accessioned | 2017-04-05T23:39:21Z | |
| dc.date.available | 2017-04-05T23:39:21Z | |
| dc.identifier | Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B. V., v. 335, n. 2, p. 1335-1346, 2007. | |
| dc.identifier | 0022-247X | |
| dc.identifier | http://hdl.handle.net/11449/33824 | |
| dc.identifier | http://acervodigital.unesp.br/handle/11449/33824 | |
| dc.identifier | 10.1016/j.jmaa.2007.02.011 | |
| dc.identifier | WOS:000248854000042 | |
| dc.identifier | WOS000248854000042.pdf | |
| dc.identifier | http://dx.doi.org/10.1016/j.jmaa.2007.02.011 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/877861 | |
| dc.description | For a class of reversible quadratic vector fields on R-3 we study the periodic orbits that bifurcate from a heteroclinic loop having two singular points at infinity connected by an invariant straight line in the finite part and another straight line at infinity in the local chart U-2. More specifically, we prove that for all n is an element of N, there exists epsilon(n) > 0 such that the reversible quadratic polynomial differential systemx = a(0) + a(1y) + a(3y)(2) + a(4Y)(2) + epsilon(a(2x)(2) + a(3xz)),y = b(1z) + b(3yz) + epsilon b(2xy),z = c(1y) +c(4az)(2) + epsilon c(2xz)in R-3, with a(0) < 0, b(1)c(1) < 0, a(2) < 0, b(2) < a(2), a(4) > 0, c(2) < a(2) and b(3) is not an element of (c(4), 4c(4)), for epsilon is an element of (0, epsilon(n)) has at least n periodic orbits near the heteroclinic loop. (c) 2007 Elsevier B.V. All rights reserved. | |
| dc.language | eng | |
| dc.publisher | Elsevier B. V. | |
| dc.relation | Journal of Mathematical Analysis and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Periodic orbits | |
| dc.subject | Quadratic vector fields | |
| dc.subject | Reversibility | |
| dc.title | Periodic orbits for a class of reversible quadratic vector field on R-3 | |
| dc.type | Otro | |
