Symmetries and conservation laws for the generalized $n$-dimensional Ermakov system

التفاصيل البيبلوغرافية
العنوان: Symmetries and conservation laws for the generalized $n$-dimensional Ermakov system
المؤلفون: Paliathanasis, Andronikos, Leon, Genly, Leach, P. G. L.
سنة النشر: 2022
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics, Mathematics - Classical Analysis and ODEs
الوصف: We revise recent results on the classification of the generalized three-dimensional Hamiltonian Ermakov system. We show that a statement published recently is incorrect, while the solution for the classification problem was incomplete. We present the correct classification for the three-dimensional system by using results which related the background space with the dynamics. Finally, we extend our results for the generalized $n$% -dimensional Hamiltonian Ermakov system.
Comment: 10 pages, published in Mathematical Methods in the Applied Sciences
نوع الوثيقة: Working Paper
DOI: 10.1002/mma.8413
URL الوصول: http://arxiv.org/abs/2205.14577
رقم الأكسشن: edsarx.2205.14577
قاعدة البيانات: arXiv