Parametric resonance of a charged pendulum with a suspension point oscillating between two vertical charged lines

DOI10.1134/s156035472303005xzbMath1526.70017OpenAlexW4379115566MaRDI QIDQ6165683

Adecarlos C. Carvalho, Gerson C. Araujo

Publication date: 1 August 2023

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s156035472303005x

zbMATH Keywords

Mathieu equationHamiltonian systemparametric stabilityDeprit-Hori methodstability/instability region

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Motion of charged particles (78A35) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

• Unnamed Item
• Unnamed Item
• Parametric stability in Robe's problem
• Stabilization of an inverted pendulum with a fixed or movable suspension point
• The stability of the equilibrium of a pendulum for vertical oscillations of the point of suspension
• Parametric stability in a P+2-body problem
• Parametric stability in a Sitnikov-like restricted P-body problem
• Bifurcations of phase portraits of pendulum with vibrating suspension point
• Parametric stability of a double pendulum with variable length and with its center of mass in an elliptic orbit
• Parametric stability of a pendulum with variable length in an elliptic orbit
• Parametric stability of a charged pendulum with an oscillating suspension point
• Parametric stability of a charged pendulum with oscillating suspension point
• Expansion formulae in canonical transformations depending on a small parameter
• Parametric Resonance in the Oscillations of a Charged Pendulum Inside a Uniformly Charged Circular Ring

This page was built for publication: Parametric resonance of a charged pendulum with a suspension point oscillating between two vertical charged lines