Discrete dynamical stabilization of a naturally diverging mass in a harmonically time-varying potential

DOI10.1016/j.physd.2018.08.001zbMath1415.70037OpenAlexW2886256707WikidataQ118359390 ScholiaQ118359390MaRDI QIDQ2001041

Arnaud Lazarus

Publication date: 1 July 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://hal.sorbonne-universite.fr/hal-01937296/file/Manuscript_Lazarus_PhysicaD_revised.pdf

zbMATH Keywords

stability analysisdynamical systemsFloquet theorymodal analysisstanding waves

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability for problems in linear vibration theory (70J25) Modal analysis in linear vibration theory (70J10)

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Cites Work

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• A harmonic-based method for computing the stability of periodic solutions of dynamical systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Parametric instability of the interface between two fluids
• Particle–wave association on a fluid interface
• The effects of gravity modulation on the stability of a heated fluid layer
• Floquet Theory as a Computational Tool