Bifurcations for Lagrangian systems and geodesics

التفاصيل البيبلوغرافية
العنوان: Bifurcations for Lagrangian systems and geodesics
المؤلفون: Lu, Guangcun
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Dynamical Systems, Mathematics - Classical Analysis and ODEs, Mathematics - Differential Geometry, Mathematics - Functional Analysis, 58E05, 37J20, 34C23
الوصف: In this paper we shall use the abstract bifurcation theorems developed by the author in previous papers to study bifurcations of solutions for Lagrangian systems on manifolds linearly or nonlinearly dependent on parameters under various boundary value conditions. As applications, many bifurcation results for geodesics on Finsler and Riemannian manifolds are derived.
Comment: 128 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.18815
رقم الأكسشن: edsarx.2404.18815
قاعدة البيانات: arXiv