Abstract
We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimensional torus from the equilibrium. We construct a focal quantity and a bifurcation equation that find the character of stability and branching of the equilibrium.
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Original Russian Text © Yu.N. Bibikov, A. G. Savel’eva, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 4, pp. 411–418.
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Bibikov, Y.N., Savel’eva, A.G. Periodic perturbations of a nonlinear oscillator. Diff Equat 52, 405–412 (2016). https://doi.org/10.1134/S0012266116040017
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DOI: https://doi.org/10.1134/S0012266116040017