کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774905 1413570 2017 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Study of the period function of a two-parameter family of centers
ترجمه فارسی عنوان
بررسی عملکرد دوره یک خانواده دو پارامتر مراکز
کلمات کلیدی
مرکز، تابع دوره، مدار دوره ای انتقادی، دوختن، انتقاد،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper we study the period function of x¨=(1+x)p−(1+x)q, with p,q∈R and p>q. We prove three independent results. The first one establishes some regions in the parameter space where the corresponding center has a monotonous period function. This result extends the previous ones by Miyamoto and Yagasaki for the case q=1. The second one deals with the bifurcation of critical periodic orbits from the center. The third one is addressed to the critical periodic orbits that bifurcate from the period annulus of each one of the three isochronous centers in the family when perturbed by means of a one-parameter deformation. These three results, together with the ones that we obtained previously on the issue, lead us to propose a conjectural bifurcation diagram for the global behaviour of the period function of the family.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 1, 1 August 2017, Pages 188-208
نویسندگان
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