Asymptotic behaviour of the stability parameter for a family of singular-limit Hill's equation

DOI10.1016/j.jde.2008.04.003zbMath1165.34031OpenAlexW2044777405MaRDI QIDQ959845

Anna Samà, Regina Martínez

Publication date: 12 December 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.003

zbMATH Keywords

three-body problemblow-upheteroclinic orbitshomographic solutions

Mathematics Subject Classification ID

Three-body problems (70F07) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Stability for problems in linear vibration theory (70J25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Uses Software

• Taylor

Cites Work

• Unnamed Item
• Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation
• Resonance tongues in Hill's equations: A geometric approach
• Stability diagram for 4D linear periodic systems with applications to homographic solutions
• Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Coexistence of periodic solutions of Ince's equation
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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