کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417705 1339305 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Limit cycles for 3-monomial differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Limit cycles for 3-monomial differential equations
چکیده انگلیسی

We study planar polynomial differential equations that in complex coordinates write as z˙=Az+Bzkz¯l+Czmz¯n. We prove that for each p∈N there are differential equations of this type having at least p limit cycles. Moreover, for the particular case z˙=Az+Bz¯+Czmz¯n, which has homogeneous nonlinearities, we show examples with several limit cycles and give a condition that ensures uniqueness and hyperbolicity of the limit cycle.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 428, Issue 2, 15 August 2015, Pages 735-749
نویسندگان
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