Naslov
Principal part of multi-parameter displacement functions

Autori
Mardešić, Pavao ; Saavedra, Mariana ; Uribe, Marco

Izvornik
Bulletin des sciences mathématiques (0007-4497) 136 (2012), 7; 752-762

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hamiltonian system; perturbation; triangle center

Sažetak
This paper deals with a perturbation problem from a period annulus, for an analytic Hamiltonian system [J.-P. Françoise, Ergodic Theory Dynam. Systems 16 (1996), no. 1, 87–96 ; L. Gavrilov, Ann. Fac. Sci. Toulouse Math. (6) 14(2005), no. 4, 663–682. The authors consider the planar polynomial multi-parameter deformations and determine the coefficients in the expansion of the displacement function generated on a transversal section to the period annulus. Their first result gives a generalization to the Françoise algorithm for a one-parameter family, following [J.-P. Françoise and M. Pelletier, J. Dyn. Control Syst. 12 (2006), no. 3, 357–369. The second result expresses the principal terms in the division of the displacement function in the Bautin ideal. The methods are illustrated with interesting examples, such as the versal unfolding of the Hamiltonian triangle center.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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