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
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.