Pumping a swing revisited: minimal model for parametric resonance via matrix products

DOI10.1088/1361-6404/AACE82zbMath1421.70027OpenAlexW2809604783MaRDI QIDQ4684657

M. V. Berry

Publication date: 24 September 2018

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1af966613c7300d3806ca02046114a950ff7bf47

zbMATH Keywords

stabilityinstabilitypendulumamplification

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability for problems in linear vibration theory (70J25) Holonomic systems related to the dynamics of a system of particles (70F20) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Parametric resonances in linear vibration theory (70J40)

Related Items (1)

Piecewise Smooth Models of Pumping a Child's Swing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The potential energy surface and chaos in 2D Hamiltonian systems
• Controlling Hamiltonian chaos via Gaussian curvature
• A note on the impulse-function determination of functional probability-density functions
• Stability of the Inverted Pendulum—A Topological Explanation
• Noncommuting Random Products

This page was built for publication: Pumping a swing revisited: minimal model for parametric resonance via matrix products