تقرير
Lie symmetries, Jacobi last multipliers and new non-standard Lagrangians for dissipative dynamical systems
| العنوان: | Lie symmetries, Jacobi last multipliers and new non-standard Lagrangians for dissipative dynamical systems |
|---|---|
| المؤلفون: | Gonzalez, Gabriel |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | Physics - Classical Physics, Mathematical Physics |
| الوصف: | We present a new method based on Lie symmetries and Jacobi last multipliers which allows one to find many non-standard Lagrangians for dissipative dynamical systems. In particular, it is demonstrated that for every non-standard Lagrangian one can generate a new non-standard Lagrangian associated to a new equation of motion. We point out that the knowledge of Lie symmetries for a given dynamical system generates Jacobi last multipliers which can be used to obtain new non-standard Lagrangians for dissipative dynamical systems in a simple and straightforward way. We exemplify the new method by applying it to the case of the free particle and the simple harmonic oscillator in order to obtain new non-standard Lagrangians for dissipative systems. Comment: 6 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2202.09707 |
| رقم الأكسشن: | edsarx.2202.09707 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |