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math.SG 1

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2026 1

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Metriplectic dynamical systems on contact manifolds

math.SG · 2026-05-10 · unverdicted · novelty 5.0

A metriplectic flow on J¹N = T*N × ℝ enforces Ḣ = 0 and Ṡ ≥ 0, extending contact Hamiltonian dynamics to thermodynamically consistent systems, as shown for the Duffing equation.

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  • Metriplectic dynamical systems on contact manifolds math.SG · 2026-05-10 · unverdicted · none · ref 32

    A metriplectic flow on J¹N = T*N × ℝ enforces Ḣ = 0 and Ṡ ≥ 0, extending contact Hamiltonian dynamics to thermodynamically consistent systems, as shown for the Duffing equation.