Title of article
the monotonicity and convexity of the period function for a class of symmetric newtonian systems of degree 8
Author/Authors
kazemi, rasool university of kashan - department of mathematical sciences, kashan, iran , akrami, mohammad hossein yazd university - department of mathematics, yazd, iran
From page
236
To page
258
Abstract
in this paper, we study the monotonicity and convexity of the period function associated with centers of a speci c class of symmetric newtonian systems of degree 8. in this regard, we prove that if the period annulus surrounds only one elementary center, then the corresponding period function is monotone; but, for the other cases, the period function has exactly one critical point. we also prove that in all cases, the period function is convex.
Keywords
newtonian system , period function , monotonicity
Journal title
Computational Methods for Differential Equations
Journal title
Computational Methods for Differential Equations
Record number
2704826
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