Maslov Index, Spectral Flow and Bifurcation of Electromagnetic Geodesics Within an Energy Level

التفاصيل البيبلوغرافية
العنوان: Maslov Index, Spectral Flow and Bifurcation of Electromagnetic Geodesics Within an Energy Level
المؤلفون: Vitório, Henrique
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, 58E07, 58E10, 47A53
الوصف: We develop appropriate notions of Maslov index and spectral flow for electromagnetic geodesics within a fixed energy level and prove a Morse Index type theorem in this context. This is then applied to the problem of electromagnetic geodesics, all of whose energy are the same, bifurcating from a given one.
Comment: 25 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.17400
رقم الأكسشن: edsarx.2310.17400
قاعدة البيانات: arXiv