On time-dependent Hamiltonian realizations of planar and nonplanar systems

被引：3

作者：

Esen, Ogul ^{[1
]}

Guha, Partha ^{[2
,3
]}

机构：

[1] Gebze Tech Univ, Dept Math, TR-41400 Gebze, Kocaeli, Turkey

[2] SN Bose Natl Ctr Basic Sci, JD Block,Sect 3, Kolkata 700098, India

[3] IHES, Le Bois Marie 35 Rue Chartres, F-91440 Bures Sur Yvette, France

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 127卷

基金：

巴西圣保罗研究基金会;

关键词：

Jacobi's last multiplier; Cosymplectic manifolds; Time-dependent Hamiltonian dynamics; Nambu-Hamiltonian systems; Conformal Hamiltonian systems; JACOBI LAST MULTIPLIER; DIFFERENTIAL-EQUATIONS; VECTOR-FIELDS; POISSON;

D O I：

10.1016/j.geomphys.2018.01.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems in 2D. We generalize the cosymplectic structures to time-dependent Nambu-Poisson Hamiltonian systems and corresponding Jacobi's last multiplier for 3D systems. We illustrate our constructions with various examples. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：32 / 45

页数：14

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