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Statistical dynamics of the system of coupled pendulum. (Russian) Zbl 1056.82510
Oscillations of $$n$$ coupled pendulum connected by elastic springs are considered. According to Gibbs for a system being at a definite state is a random event with proper density function. The density function satisfies the Liouville equation and therefore in the case of a Hamiltonian system is a first integral. A new approach is suggested in the article to obtain the Gibbs distribution function.
##### MSC:
 82C05 Classical dynamic and nonequilibrium statistical mechanics (general)