Parametric Resonance in the Oscillations of a Charged Pendulum Inside a Uniformly Charged Circular Ring

DOI10.20537/nd220703zbMath1529.70025OpenAlexW4289239895MaRDI QIDQ6054844

Hildeberto E. Cabral, Adecarlos C. Carvalho

Publication date: 28 September 2023

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd808

zbMATH Keywords

stability domainJacobi elliptic integralDeprit-Hori methodlinearized Hamiltonian system

Mathematics Subject Classification ID

Motion of charged particles (78A35) Parametric resonances for nonlinear problems in mechanics (70K28) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (1)

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

Cites Work

• Parametric stability in a P+2-body problem
• Parametric stability in a Sitnikov-like restricted P-body problem
• 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
• New aspects in the theory of stability of Hamiltonian systems
• Expansion formulae in canonical transformations depending on a small parameter
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
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