Levitron: multi-scale analysis of stability

DOI10.1080/14689367.2013.870126zbMath1292.78020OpenAlexW2078924111MaRDI QIDQ5418065

Ralf Schneider, Jürgen Geiser, Karl Felix Lüskow

Publication date: 26 May 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2013.870126

zbMATH Keywords

stability analysisHamiltonian equationmulti-scale analysisstable trajectoriesLevitron-problem

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application of the Levitron

Cites Work

• Gyroscopic stabilization of passive magnetic levitation
• Poisson integrator for symmetric rigid bodies
• Stability of levitrons
• Multi-product operator splitting as a general method of solving autonomous and nonautonomous equations
• Passive Levitation in Alternating Magnetic Fields

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