Analytical solution of an ill-posed system of nonlinear ODE's

DOI10.1016/j.cnsns.2023.107762MaRDI QIDQ6143057

Ruprecht Altenburger, Marcello Robbiani, Andreas Henrici

Publication date: 23 January 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Jacobian elliptic functionmoment functionnumerical solutionfree parameternonlinear pendulumone-wheel cubli system

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08)

Cites Work

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• Approximate analytical solution of the nonlinear system of differential equations having asymptotically stable equilibrium
• Exact solutions and Riccati-type first integrals
• The Inverted Pendulum in Control Theory and Robotics: From theory to new innovations

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