کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841390 908508 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reversibility and quasi-homogeneous normal forms of vector fields
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Reversibility and quasi-homogeneous normal forms of vector fields
چکیده انگلیسی

This paper uses tools in quasi-homogeneous normal form theory to discuss certain aspects of reversible vector fields around an equilibrium point. Our main result provides an algorithm, via Lie Triangle, that detects the non-reversibility of vector fields. That is, it is possible to decide whether a planar center is not reversible. Some of the theory developed is also applied to get further results on nilpotent and degenerate polynomial vector fields. We find several families of nilpotent centers which are non-reversible.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 2, 15 July 2010, Pages 510–525
نویسندگان
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