The method of averaging for the Kapitza-Whitney pendulum
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Publication:2197295
DOI10.1134/S1560354720040073zbMath1466.70020arXiv2006.03406OpenAlexW3104091233MaRDI QIDQ2197295
Publication date: 31 August 2020
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.03406
Forced motions for nonlinear problems in mechanics (70K40) Averaging method for ordinary differential equations (34C29) Numerical investigation of stability of solutions to ordinary differential equations (65L07)
Related Items
The spherical Kapitza-Whitney pendulum ⋮ Asymptotically stable non-falling solutions of the Kapitza-Whitney pendulum ⋮ A topological-analytical method for proving averaging theorems on an infinite time interval in a degenerate case
Cites Work
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- On forced oscillations in groups of interacting nonlinear systems
- Comparisons between the pendulum with varying length and the pendulum with oscillating support
- Forced oscillations of a massive point on a compact surface with a boundary
- On topological obstructions to global stabilization of an inverted pendulum
- An introduction to nonlinear boundary value problems
- On the impossibility of global stabilization of the Lagrange top
- On periodic solutions in the Whitney's inverted pendulum problem
- Asymptotic integration of differential equations with rapidly oscillating terms of large amplitude. II
- Two-point boundary value problems. Lower and upper solutions
- Asymptotic integration of differential equations with oscillatory terms of large amplitudes. I
- Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney's inverted pendulum problem
- The ponderomotive Lorentz force
- Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations
- Multiple-nodding oscillations of a driven inverted pendulum
- N.N. Bogolyubov and non-linear mechanics
- Averaging, symplectic reduction, and central extensions
- Examples of topological approach to the problem of inverted pendulum with moving pivot point
- Averaging methods in nonlinear dynamical systems
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