dc.contributor.author |
García, I. A. (Isaac A.) |
dc.contributor.author |
Shafer, Douglas S. |
dc.date |
2016-11-08T13:57:41Z |
dc.date |
2016-04-01 |
dc.date |
2016-11-08T13:57:42Z |
dc.identifier |
1078-0947 |
dc.identifier |
http://hdl.handle.net/10459.1/58427 |
dc.identifier |
https://doi.org/10.3934/dcds.2016.36.2497 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/58427 |
dc.description |
In this work we extend techniques based on computational algebra for bounding the cyclicity of nondegenerate centers to nilpotent centers in a natural class of polynomial systems, those of the form $\dot x = y + P_{2m + 1}(x,y)$, $\dot y = Q_{2m + 1}(x,y)$, where $P_{2m+1}$ and $Q_{2m+1}$ are homogeneous polynomials of degree $2m + 1$ in $x$ and $y$. We use the method to obtain an upper bound (which is sharp in this case) on the cyclicity of all centers in the cubic family and all centers in a broad subclass in the quintic family. |
dc.description |
The first author is partially supported by a MICINN grant number MTM2011-22877 and by a CIRIT grant number 2014 SGR 1204. |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
American Institute of Mathematical Sciences |
dc.relation |
MICINN/PN2008-2011/MTM2011-22877 |
dc.relation |
Versió postprint del document publicat a https://doi.org/10.3934/dcds.2016.36.2497 |
dc.relation |
Discrete and Continuous Dynamical Systems Series A, 2016, vol. 36, núm. 5, p. 2497-2520 |
dc.rights |
(c) American Institute of Mathematical Sciences, 2016 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Cyclicity |
dc.subject |
Limit cycle |
dc.subject |
Nilpotent center |
dc.subject |
Matemàtica |
dc.subject |
Mathematics |
dc.title |
Cyclicity of a class of polynomial nilpotent center singularities |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/acceptedVersion |