Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney's inverted pendulum problem

DOI10.1070/IM2015V079N05ABEH002765zbMath1367.37053MaRDI QIDQ2832305

Valery V. Kozlov, Sergey V. Bolotin

Publication date: 11 November 2016

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamilton principlenonautonomous Lagrangian systemWhitney's problem

Mathematics Subject Classification ID

Hamilton's principle (70H25) Other variational principles in mechanics (70H30)

Related Items (8)

The spherical Kapitza-Whitney pendulum ⋮ The method of averaging for the Kapitza-Whitney pendulum ⋮ Asymptotically stable non-falling solutions of the Kapitza-Whitney pendulum ⋮ Some results on the existence of forced oscillations in mechanical systems ⋮ On the impossibility of global stabilization of the Lagrange top ⋮ On motions without falling of an inverted pendulum with dry friction ⋮ Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces ⋮ On topological obstructions to global stabilization of an inverted pendulum

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