کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838655 908364 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integrability conditions for Lotka–Volterra planar complex quintic systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Integrability conditions for Lotka–Volterra planar complex quintic systems
چکیده انگلیسی

In this paper we obtain necessary and sufficient integrability conditions at the origin for the Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree homogeneous polynomials, i.e., we consider systems of the form ẋ=x(1−a40x4−a31x3y−a22x2y2−a13xy3−a04y4), ẏ=−y(1−b40x4−b31x3y−b22x2y2−b13xy3−b04y4). The necessity of these conditions is derived from the first nine focus-saddle quantities and their sufficiency is proved by finding an inverse integrating factor or a first integral.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 3, June 2010, Pages 2100–2105
نویسندگان
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