Phase-Space Metric for Non-Hamiltonian Systems
Dynamical Systems
2018-04-02 v1 Statistical Mechanics
Mathematical Physics
math.MP
Symplectic Geometry
Chaotic Dynamics
Classical Physics
Quantum Physics
Abstract
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.
Cite
@article{arxiv.math/0602433,
title = {Phase-Space Metric for Non-Hamiltonian Systems},
author = {Vasily E. Tarasov},
journal= {arXiv preprint arXiv:math/0602433},
year = {2018}
}
Comments
12 pages