From Second-Order Differential Geometry to Stochastic Geometric Mechanics

被引：0

作者：

Huang, Qiao ^{[1
]}

Zambrini, Jean-Claude ^{[1
]}

机构：

[1] Group of Mathematical Physics (GFMUL), Department of Mathematics, Faculty of Sciences, University of Lisbon, Campo Grande, Edifício C6, Lisboa,PT-1749-016, Portugal

来源：

arXiv | 2022年

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Dynamic programming - Equations of motion - Geometry - Hamiltonians - Lagrange multipliers - Quantum theory

引用

共 50 条

[21] A second-order discretization for degenerate systems of stochastic differential equations
Iguchi, Yuga
Yamada, Toshihiro
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 41 (04) : 2782 - 2829
[22] Asymptotic stability of second-order neutral stochastic differential equations
Sakthivel, R.
Ren, Yong
Kim, Hyunsoo
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (05)
[23] A Geometric Interpretation for the Algebraic Properties of Second-Order Ordinary Differential Equations
Paliathanasis, A.
Moyo, S.
Leach, P. G. L.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (06) : 6912 - 6917
[24] A differential geometric setting for mixed first- and second-order ordinary differential equations
Sarlet, W
Cantrijn, F
Saunders, DJ
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (11): : 4031 - 4052
[25] BOUNDEDNESS OF SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS AND SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY
汤慕忠
黄树荣
ChineseScienceBulletin, 1989, (02) : 171 - 172
[26] OSCILLATION FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAYOSCILLATION FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY
Baculikova, Blanka
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[27] ON A STOCHASTIC REPRESENTATION FOR THE PRINCIPAL EIGENVALUE OF A SECOND-ORDER DIFFERENTIAL EQUATION.
Karatzas, Ioannis
Stochastics, 1980, 3 (04): : 305 - 321
[28] Efficient weak second-order stochastic Runge–Kutta methods for Itô stochastic differential equations
Xiao Tang
Aiguo Xiao
BIT Numerical Mathematics, 2017, 57 : 241 - 260
[29] Second-order algorithm for simulating stochastic differential equations with white noises
Duan, Wei-Long
Fang, Hui
Zeng, Chunhua
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 525 : 491 - 497
[30] Analytic stochastic process solutions of second-order random differential equations
Calbo, G.
Cortes, J. -C.
Jodar, L.
Villafuerte, L.
APPLIED MATHEMATICS LETTERS, 2010, 23 (12) : 1421 - 1424

← 1 2 3 4 5 →