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One-diemnsional motion of inelastic balls. I: Reduction to discrete time

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References

  1. R. M. Garipov, “One-dimensional motion of absolutely rigid balls,” Izv. Akad. Nauk SSSR, No. 6, 181 (1974).

    Google Scholar 

  2. E. N. Lorenz, “Deterministic nonperiodic flow,” J. Atmospheric Sci., No. 20, 130–141 (1963).

    Google Scholar 

  3. Ya. G. Sinaî, “Dynamical systems with elastic reflections. Ergodic properties of scattering billiards,” Uspekhi Mat. Nauk,25, No. 2, 141–192 (1970).

    Google Scholar 

  4. Ya. G. Sinaî and N. I. Chernov, “Ergodic properties of some systems of two-dimensional disks and three-dimensional balls,” Uspekhi Mat. Nauk,42, No. 3, 153–174 (1987).

    Google Scholar 

  5. N. N. Bogoluboff and N. M. Krylov, “La theorie generale de la mesure dans son application a l'etude des systemes dynamiques de la mecanique non lineaire,” Ann. Math., No. 38, 65–113 (1937).

    Google Scholar 

  6. I. P. Kornfel'd and Ya. G. Sinaî, “Initial notions and primary examples of ergodic theory,” in: Sovrem. Probl. Mat. Fund. Naprav. (Itogi Nauki i Tekhniki). Vol. 2 [in Russian], VINITI, Moscow, 1985, pp. 7–35.

    Google Scholar 

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Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 6, pp. 23–33, November–December, 1993.

Translated by V. N. Gerasimov

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Garipov, R.M., Mamontov, E.V. One-diemnsional motion of inelastic balls. I: Reduction to discrete time. Sib Math J 34, 1017–1026 (1993). https://doi.org/10.1007/BF00973465

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  • DOI: https://doi.org/10.1007/BF00973465

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