On the Existence of Small Periodic Solutions for the 2-Dimensional Inverted Pendulum on a Cart

DOI10.1137/070683404zbMath1135.70007OpenAlexW2069138637MaRDI QIDQ5386226

Mario Tosques, Luca Consolini

Publication date: 22 April 2008

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070683404

zbMATH Keywords

forced pendulum equation

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

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A continuation theorem on periodic solutions of regular nonlinear systems and its application to the exact tracking problem for the inverted spherical pendulum ⋮ A sufficient condition for dichotomy based on a suitable invariance property ⋮ On the exact tracking of the spherical inverted pendulum via an homotopy method

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