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    Classical Kapitsa’s problem of stability of an inverted pendulum and some generalizations

    The classical Kapitsa’s problem of stability of an inverted pendulum subjected to vertical vibration of the support and some generalizations are investigated. The asymptotic method of two-scale expansions allo...

    A. K. Belyaev, N. F. Morozov, P. E. Tovstik, T. M. Tovstik, T. P. Tovstik in Acta Mechanica (2021)