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• W1970694037 abstract "This paper is concerned with the behaviour of the period function of the quadratic reversible centers. In this context the interesting stratum is the family of the so-called Loud’s dehomogenized systems, namely [ left { begin {array}{l} dot x=-y+xy, [1pt] dot y=x+Dx^2+Fy^2. end {array} right . ] In this paper we show that the bifurcation set of the period function of these centers is contained in the rectangle $K=(-7,2)!times !(0,4).$ More concretely, we prove that if $(D,F)notin K$, then the period function of the center is monotonically increasing." @default.
• W1970694037 created "2016-06-24" @default.
• W1970694037 creator A5005843276 @default.
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• W1970694037 date "2008-01-23" @default.
• W1970694037 modified "2023-09-24" @default.
• W1970694037 title "The bifurcation set of the period function of the dehomogenized Loud's centers is bounded" @default.
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• W1970694037 doi "https://doi.org/10.1090/s0002-9939-08-09131-4" @default.
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