کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10224132 1701078 2018 42 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cyclicity of polynomial nondegenerate centers on center manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Cyclicity of polynomial nondegenerate centers on center manifolds
چکیده انگلیسی
We consider polynomial families of ordinary differential equations on R3, parametrized by the admissible coefficients, for which the origin is an isolated singularity at which the linear part of the system has one non-zero real and two purely imaginary eigenvalues. We derive theorems that bound the maximum number of limit cycles within the center manifold that can bifurcate, under arbitrarily small perturbation of the coefficients, from any center at the origin. The bounds are global in that they apply to the system corresponding to any point on any irreducible component of the center variety in the space of parameters. We also derive theorems for such bounds when attention is confined to a single irreducible component of the center variety.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 11, 5 December 2018, Pages 5767-5808
نویسندگان
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