کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843851 908567 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities
چکیده انگلیسی

In 2002 X. Jarque and J. Villadelprat proved that no center in a planar polynomial Hamiltonian system of degree 4 is isochronous and raised a question: Is there a planar polynomial Hamiltonian system of even degree which has an isochronous center? In this paper we give a criterion for non-isochronicity of the center at the origin of planar polynomial Hamiltonian systems. Moreover, the orders of weak centers are determined. Our results answer a weak version of the question, proving that there is no planar polynomial Hamiltonian system with only even degree nonlinearities having an isochronous center at the origin.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 9, 1 May 2008, Pages 2769–2778
نویسندگان
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