Since 1931, Krylov and Bogolyubov worked together on the problems of nonlinear mechanics and nonlinear oscillations.
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When Hartley joined Bell Laboratories after being part of Western Electric, he started a research group on nonlinear oscillations.
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Population oscillations of these two species were the first nonlinear oscillation studied, and led to the now-famous Lotka-Volterra equation.
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It was suggested that a ball lightning is based on spherically symmetric nonlinear oscillations of charged particles in plasma the analogue of a spatial Langmuir soliton.
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"Nonlinear Oscillations " is a translation of the Anatoly M . Samoilenko ( Institute of Mathematics of the National Academy of Sciences of Ukraine ).
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The scientific interests of Samoilenko cover a broad range of important problems in the qualitative theory of differential equations, nonlinear mechanics, and the theory of nonlinear oscillations.
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Georgi Bradistilov's contributions to applied mathematics are related to nonlinear differential equations and their applications to mechanics and electrotechnics, to electrostatic potential, to nonlinear oscillations.
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[B6 ] " Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields ", John Guckenheimer and Philip Holmes, Springer-Verlag Applied Mathematical Sciences 42, 1983.
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*John Guckenheimer and Philip Holmes, " Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields ", ( Applied Mathematical Sciences Vol . "'42 "'), Springer
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Samoilenko is a member of the Ukrainian Mathematical Society, the American Mathematical Society, and the editorial boards of numerous Ukrainian and foreign mathematical journals, among which there are Nonlinear Oscillations journal and the Ukrainian Mathematical Bulletin.
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