Phase-Space Metric for Non-Hamiltonian Systems

Details Phase-Space Metric for Non-Hamiltonian Systems Phase-Space Metric for Non-Hamiltonian Systems

2006-02-20

arxiv.org/abs/math/0602433v1

Journal of Physics A 38 (2005) 2145-2155

Mathematics

Dynamical Systems

12 pages

Scientific paper

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.

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