Random Lie-point symmetries

被引：3

作者：

Catuogno, Pedro Jose ^{[1
]}

Lucinger, Luis Roberto ^{[2
]}

机构：

[1] Univ Estadual Campinas, Dept Math, Campinas, SP, Brazil

[2] Univ Brasilia, Dept Math, Brasilia, DF, Brazil

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2014年 / 21卷 / 02期

基金：

日本学术振兴会;

关键词：

Lie-point symmetries; Determining equations; Random symmetries; Stochastic differential equations; Ito formula; STOCHASTIC DIFFERENTIAL-EQUATIONS; STRATONOVICH DYNAMICAL-SYSTEMS; CONSERVED QUANTITIES; IT(O)OVER-CAP;

D O I：

10.1080/14029251.2014.900984

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of a random symmetry. It consists of taking the action given by a deterministic flow that maintains the solutions of a given differential equation invariant and replacing it with a stochastic flow. This generates a random action, which we call a random symmetry.

引用

页码：149 / 165

页数：17

共 50 条

[41] Exact solutions to magnetogasdynamics using Lie point symmetries
B. Bira
T. Raja Sekhar
Meccanica, 2013, 48 : 1023 - 1029
[42] Lie point symmetries of differential-difference equations
Levi, D.
Winternitz, P.
Yamilov, R. I.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (29)
[43] Lie point symmetries and ODEs passing the Painleve test
Levi, D.
Sekera, D.
Winternitz, P.
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2018, 25 (04) : 604 - 617
[44] Lie point symmetries of the Lane-Emden systems
Bozhkov, Y
Martins, ACG
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) : 334 - 344
[45] Lie remarkable partial differential equations characterized by Lie algebras of point symmetries
Gorgone, Matteo
Oliveri, Francesco
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 144 : 314 - 323
[46] Fluid relabelling symmetries, Lie point symmetries and the Lagrangian map in magnetohydrodynamics and gas dynamics
Webb, G. M.
Zank, G. P.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (03) : 545 - 579
[47] Lie point symmetries of the geodesic equations of the Godel's metric
Al-Kindi, Fatma
Ziad, Muhammad
15TH MARCEL GROSSMANN MEETING, PT A, 2022, : 1341 - 1346
[48] Lie and Noether point symmetries for a class of nonautonomous dynamical systems
Karpathopoulos, Leonidas
Paliathanasis, Andronikos
Tsamparlis, Michael
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (08)
[49] Bogoyavlenskij symmetries of ideal MHD equilibria as Lie point transformations
Cheviakov, AF
PHYSICS LETTERS A, 2004, 321 (01) : 34 - 49
[50] Lie point symmetries and exact solutions of couple KdV equations
Qian, S. P.
Tian Li-Xin
COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 47 (04) : 582 - 586

← 1 2 3 4 5 →