کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610607 1338573 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inverse Jacobian multipliers and Hopf bifurcation on center manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Inverse Jacobian multipliers and Hopf bifurcation on center manifolds
چکیده انگلیسی

In this paper we consider a class of higher dimensional differential systems in RnRn which have a two dimensional center manifold at the origin with a pair of pure imaginary eigenvalues. First we characterize the existence of either analytic or C∞C∞ inverse Jacobian multipliers of the systems around the origin, which is either a center or a focus on the center manifold. Later we study the cyclicity of the system at the origin through Hopf bifurcation by using the vanishing multiplicity of the inverse Jacobian multiplier.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 9, 1 May 2014, Pages 3278–3299
نویسندگان
,