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 |
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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. |