Phase-Space Metric for Non-Hamiltonian Systems
classification
🧮 math.DS
cond-mat.stat-mechmath-phmath.MPmath.SGnlin.CDphysics.class-phquant-ph
keywords
metricnon-hamiltonianphase-spacesystemsinvariantskew-symmetricconsiderconsidered
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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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