Phase-Space Metric for Non-Hamiltonian Systems
动力系统
2018-04-02 v1 统计力学
数学物理
math.MP
辛几何
混沌动力学
经典物理
量子物理
摘要
We consider an invariant skew-symmetric phase-space metric for non-Hamiltonian systems. We say that the metric is an invariant if the metric tensor field is an integral of motion. We derive the time-dependent skew-symmetric phase-space metric that satisfies the Jacobi identity. The example of non-Hamiltonian systems with linear friction term is considered.
引用
@article{arxiv.math/0602433,
title = {Phase-Space Metric for Non-Hamiltonian Systems},
author = {Vasily E. Tarasov},
journal= {arXiv preprint arXiv:math/0602433},
year = {2018}
}
备注
12 pages