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Kazemi, Rasool, Akrami, Mohammad Hossein. (1400). The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8. سامانه مدیریت نشریات علمی, 10(1), 236-258. doi: 10.22034/cmde.2020.41241.1792
Rasool Kazemi; Mohammad Hossein Akrami. "The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8". سامانه مدیریت نشریات علمی, 10, 1, 1400, 236-258. doi: 10.22034/cmde.2020.41241.1792
Kazemi, Rasool, Akrami, Mohammad Hossein. (1400). 'The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8', سامانه مدیریت نشریات علمی, 10(1), pp. 236-258. doi: 10.22034/cmde.2020.41241.1792
Kazemi, Rasool, Akrami, Mohammad Hossein. The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8. سامانه مدیریت نشریات علمی, 1400; 10(1): 236-258. doi: 10.22034/cmde.2020.41241.1792

The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8

Computational Methods for Differential Equations
مقاله 18، دوره 10، شماره 1، فروردین 2022، صفحه 236-258  XML اصل مقاله (743.35 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.41241.1792
نویسندگان
Rasool Kazemi email 1؛ Mohammad Hossein Akrami2
1Department of Mathematical Sciences, University of Kashan, Kashan, 87317-53153, Iran.
2Department of Mathematics, Yazd University, Yazd, 89195-741 Iran.
چکیده
In this paper, we study the monotonicity and convexity of the period function associated with centers of a specific 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.
کلیدواژه‌ها
. Newtonian system؛ Period function؛ Monotonicity
مراجع
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