| dc.contributor |
Universitat de Vic. Escola Politècnica Superior |
| dc.contributor |
Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
| dc.contributor.author |
Corbera Subirana, Montserrat |
| dc.contributor.author |
Llibre, Jaume |
| dc.date |
2007 |
| dc.identifier |
CORBERA SUBIRANA, Montserrat; LLIBRE, Jaume. "Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimensions 1 and 2 in R-3". A: International Journal of Bifurcation and Chaos, 2007, vol. 17, núm. 9, pàg. 3295-3302. |
| dc.identifier |
0218-1274 |
| dc.identifier |
http://hdl.handle.net/10854/2209 |
| dc.identifier |
https://doi.org/10.1142/S0218127407019056 |
| dc.identifier.uri |
http://hdl.handle.net/10854/2209 |
| dc.description |
In this paper we will find a continuous of periodic orbits passing
near infinity for a class of polynomial vector fields in R3. We consider
polynomial vector fields that are invariant under a symmetry with
respect to a plane and that possess a “generalized heteroclinic loop”
formed by two singular points e+ and e− at infinity and their invariant
manifolds � and . � is an invariant manifold of dimension 1 formed
by an orbit going from e− to e+, � is contained in R3 and is transversal
to . is an invariant manifold of dimension 2 at infinity. In fact, is
the 2–dimensional sphere at infinity in the Poincar´e compactification
minus the singular points e+ and e−. The main tool for proving the
existence of such periodic orbits is the construction of a Poincar´e map
along the generalized heteroclinic loop together with the symmetry
with respect to . |
| dc.format |
application/pdf |
| dc.language |
eng |
| dc.publisher |
World Cientific Publishing |
| dc.relation |
http://www.worldscientific.com/doi/abs/10.1142/S0218127407019056?journalCode=ijbc |
| dc.rights |
Electronic version of an article published in International Journal of Bifurcation and Chaos, 2007, vol. 17, núm. 9, pàg. 3295-3302. http://dx.doi.org/10.1142/S0218127407019056 © World Scientific Publishing Company. http://www.worldscientific.com/doi/abs/10.1142/S0218127407019056?journalCode=ijbc |
| dc.rights |
info:eu-repo/semantics/openAccess |
| dc.subject |
Matemàtica |
| dc.title |
Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 in R3 |
| dc.type |
info:eu-repo/semantics/article |
| dc.type |
info:eu-repo/acceptedVersion |
