کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758811 896452 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reversible maps and their symmetry lines
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Reversible maps and their symmetry lines
چکیده انگلیسی

In this paper, we present some methods to determine whether a planar map is reversible. Using these methods, we show that four automorphisms are reversible including Cremona map, cubic Hénon map, Knuth map and McMillan map. Some of them are not polynomial automorphism. We give the recurrence formulas of their symmetry lines, draw their phase portraits and symmetry lines with MATLAB software. Some special properties of their symmetry lines are explained and their beauties are also visually displayed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 1, January 2011, Pages 363–371
نویسندگان
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