New cases of integrable systems with dissipation on tangent bundles of two- and three-dimensional spheres

被引：5
|
作者：
Shamolin, M. V. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Res Inst Mech, Moscow 117192, Russia
来源：
DOKLADY PHYSICS | 2016年 / 61卷 / 12期
基金：
俄罗斯基础研究基金会;
关键词：
NONCONSERVATIVE FIELD; DYNAMICS;
D O I：
10.1134/S1028335816120089
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Integrability in elementary functions is demonstrated for some classes of dynamic systems on tangent bundles of two- and three-dimensional spheres. The force fields possess the so-called variable dissipation with a zero mean and generalize those considered earlier.
引用
收藏
页码：625 / 629
页数：5
相关论文
共 44 条
  • [41] An unstructured preconditioned central difference finite volume multiphase Euler solver for computing inviscid cavitating flows over arbitrary two- and three-dimensional geometries
    Ezzatneshan, Eslam
    Hejranfar, Kazem
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 143 : 234 - 248
  • [42] Crossover from three-dimensional to two-dimensional systems in the nonequilibrium zero-temperature random-field Ising model
    Spasojevic, Djordje
    Mijatovic, Svetislav
    Navas-Portella, Victor
    Vives, Eduard
    PHYSICAL REVIEW E, 2018, 97 (01)
  • [43] Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones
    Wang, Lei
    Li, Qingdu
    Yang, Xiao-Song
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 404
  • [44] Probing the Molecular Architecture of Arabidopsis thaliana Secondary Cell Walls Using Two- and Three-Dimensional 13C Solid State Nuclear Magnetic Resonance Spectroscopy
    Dupree, Ray
    Simmons, Thomas J.
    Mortimer, Jennifer C.
    Patel, Dharmesh
    Iuga, Dinu
    Brown, Steven P.
    Dupree, Paul
    BIOCHEMISTRY, 2015, 54 (14) : 2335 - 2345
12345