کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
469001 698275 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linearizability conditions for Lotka–Volterra planar complex quartic systems having homogeneous nonlinearities
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Linearizability conditions for Lotka–Volterra planar complex quartic systems having homogeneous nonlinearities
چکیده انگلیسی

In this paper we investigate the linearizability problem for the two-dimensional Lotka–Volterra complex quartic systems which are linear systems perturbed by fourth degree homogeneous polynomials, i.e., we consider systems of the form ẋ=x(1−a30x3−a21x2y−a12xy2−a03y3), ẏ=−y(1−b30x3−b21x2y−b12xy2−b03y3). The necessary and sufficient conditions for the linearizability of this system are found. From them the conditions for isochronicity of the corresponding real system can be derived.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 4, February 2011, Pages 1190–1201
نویسندگان
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