Keeping track of limit cycles
Françoise , Jean-Pierre ; Pugh, C.C
HAL, hal-01403500 / Harvested from HAL
Text on HAL
This article uses analytic geometry methods to bound the number of limit cycles of bounded period for a planar polynomial vector fields. It introduces the notion of limit periodic sets and shows that the Hilbert's 16th problem can be reduced to the existence of a uniform bound on its cyclicity. It also shows the existence of a universal bound on the number of limit cycles in the perturbation of a linear focus as a consequence of the Noetherian property of the Bautin ideal.
Publié le : 1986-07-04
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01403500,
     author = {Fran\c coise , Jean-Pierre  and Pugh, C.C},
     title = {Keeping track of limit cycles},
     journal = {HAL},
     volume = {1986},
     number = {0},
     year = {1986},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01403500}
}

Françoise , Jean-Pierre ; Pugh, C.C. Keeping track of limit cycles. HAL, Tome 1986 (1986) no. 0, . http://gdmltest.u-ga.fr/item/hal-01403500/