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Phase-Space Metric for Non-Hamiltonian Systems

Vasily E. Tarasov
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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.

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BibTeXRIS

Vasily E. Tarasov. 2006-02-20. Phase-Space Metric for Non-Hamiltonian Systems. https://doi.org/10.1088/0305-4470/38/10/006

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