Stability of Coupled and Damped Mathieu Equations Utilizing Symplectic Properties

DOI10.1007/978-3-030-34713-0_14zbMath1484.37061OpenAlexW3003755552MaRDI QIDQ5013655

Fadi Dohnal, Miguel Ramírez Barrios, Joaquin M. Collado

Publication date: 2 December 2021

Published in: Nonlinear Dynamics of Structures, Systems and Devices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34713-0_14

zbMATH Keywords

Hamiltonian systemsparametric excitationsymplectic matrices

Mathematics Subject Classification ID

Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

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Cites Work

• Unnamed Item
• On the properties of a class of higher-order Mathieu equations originating from a parametric quantum oscillator
• Averaging in vibration suppression by parametric stiffness excitation
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Construction of dynamically equivalent time-invariant forms for time-periodic systems
• Normal forms and the structure of resonance sets in nonlinear time-periodic systems
• Linear stability of symplectic maps
• Hill Equation: From 1 to 2 Degrees of Freedom

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