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Mukhin R. R. From the history of Hamiltonian chaos: billiards. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 6, pp. 86-98. DOI: 10.18500/0869-6632-2008-16-6-86-98

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From the history of Hamiltonian chaos: billiards

Mukhin Ravil Rafkatovich, Stary Oskol technological Institute. A. A. Ugarov (branch) of Federal state educational institution of higher professional education "national research technological University "MISIS" (STI nust Misa)

Problems of history of the Hamiltonian chaos discovery are considered. The example of Hamiltonian systems are free-moving particles with elastic collisions called mathematical billiards. The contribution from Russian scientists to chaos discovery in conservative systems (billiards are particular case of such systems) is especially large. Demonstration of billiard’s chaotic behaviour is one of the milestones in chaos history.

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