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The Nosé-Hoover, Dettmann, and Hoover-Holian Oscillators
To follow up recent work of Xiao-Song Yang [1] on the Nosé-Hoover oscillator [2–5] we consider Dettmann’s harmonic oscillator [6, 7], which relates Yang’s ideas directly to Hamiltonian mechanics.We also use the Hoover-Holian oscillator [8] to relate our mechanical studies to Gibbs’ stati ...