Hill Equation: From 1 to 2 Degrees of Freedom

DOI10.1007/978-3-319-62464-8_3zbMath1412.34119OpenAlexW2759820208MaRDI QIDQ5377582

M. Joaquin Collado

Publication date: 27 May 2019

Published in: New Perspectives and Applications of Modern Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62464-8_3

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (1)

Stability of Coupled and Damped Mathieu Equations Utilizing Symplectic Properties

Cites Work

• Periodic differential operators
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• The spectrum of Hill's equation
• Function-theoretic properties of the discriminant of Hill's equation
• Discrete and continuous boundary problems
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Survey of works on conditions of stability of the trivial solution of a system of linear differential equations with periodic coefficients
• On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients
• Remarks on the perturbation theory for problems of Mathieu type
• Almost Periodic Oscillations and Waves
• Stability diagrams for coupled Mathieu-equations
• Linear stability of symplectic maps
• Large scale radial stability density of Hill's equation
• Geometric Numerical Integration
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