Computing the stability regions of Hill's equation

DOI10.1016/J.AMC.2004.01.002zbMath1071.65107OpenAlexW2045645956MaRDI QIDQ1765809

Charles Tier, Svetlana V. Simakhina

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.01.002

zbMATH Keywords

numerical examplesintegral operatorspectral problemHill's equationstability regionsSchwarz iteration

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (4)

Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation ⋮ Using Fourier coefficients to determine the unstable points of Hill equation ⋮ Application of Jacobian elliptic functions to the analysis of the steady-state solution of the damped Duffing equation with driving force of elliptic type ⋮ Mathieu and Heun solutions to the Wheeler-De Witt equation for hyperbolic universes

Cites Work

• Geometrical aspects of stability theory for Hill's equations
• Asymptotic Behavior of Stability Regions for Hill’s Equation
• Transition Curves for the Quasi-Periodic Mathieu Equation
• Spectral Methods in MATLAB
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Computing the stability regions of Hill's equation