Damped equations of Mathieu type

DOI10.1016/J.AMC.2013.11.106zbMath1364.34044OpenAlexW2000228596MaRDI QIDQ530011

Partha Guha, Anindya Ghose Choudhury

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.106

zbMATH Keywords

Mathieu equationfirst integralsJacobi's last multiplierLagrangiansvan der Pol-Mathieu equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Integrable modulation, curl forces and parametric Kapitza equation with trapping and escaping ⋮ An analytical method for Mathieu oscillator based on method of variation of parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New integrability case for the Riccati equation
• On the Jacobi last multiplier, integrating factors and the Lagrangian formulation of differential equations of the Painlevé-Gambier classification
• Approximate asymptotics for a nonlinear Mathieu equation using harmonic balance based averaging
• On a class of integrable time-dependent dynamical systems
• Lagrangians for Dissipative Nonlinear Oscillators: The Method of Jacobi Last Multiplier
• The Riccati and Ermakov-Pinney hierarchies
• The Ermakov equation: A commentary
• A pendulum theorem
• On the stability of the upside–down pendulum with damping
• A Van der Pol–Mathieu equation for the dynamics of dust grain charge in dusty plasmas
• Jacobi Last Multiplier and Lie Symmetries: A Novel Application of an Old Relationship
• Jacobi’s last multiplier and Lagrangians for multidimensional systems

This page was built for publication: Damped equations of Mathieu type