کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616274 | 1631566 | 2014 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Differential invariants of a class of Lagrangian systems with two degrees of freedom
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Differential invariants of a class of Lagrangian systems with two degrees of freedom Differential invariants of a class of Lagrangian systems with two degrees of freedom](/preview/png/4616274.png)
چکیده انگلیسی
We consider systems of Euler–Lagrange equations with two degrees of freedom and with Lagrangian being quadratic in velocities. For this class of equations the generic case of the equivalence problem is solved with respect to point transformations. Using Lieʼs infinitesimal method we construct a basis of differential invariants and invariant differentiation operators for such systems. We describe certain types of Lagrangian systems in terms of their invariants. The results are illustrated by several examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 410, Issue 2, 15 February 2014, Pages 733–749
Journal: Journal of Mathematical Analysis and Applications - Volume 410, Issue 2, 15 February 2014, Pages 733–749
نویسندگان
Yulia Yu. Bagderina, Nikolai N. Tarkhanov,