Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation

DOI10.1134/S1560354721010056zbMath1487.70078arXiv2101.12257WikidataQ114074880 ScholiaQ114074880MaRDI QIDQ2235126

A. C. Tzemos, George Contopoulos

Publication date: 20 October 2021

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12257

zbMATH Keywords

Hamiltonian systemsMathieu's equationintegrals of motion

Mathematics Subject Classification ID

Hamilton's equations (70H05) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (1)

Order and chaos in time periodic Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of periodic Hamiltonian systems with one degree of freedom in the case of degeneracy
• On the Birkhoff transformation in the case of complete degeneracy of the quadratic part of the Hamiltonian
• Analysis of periodically time-varying systems
• Third-order resonance in a Hamiltonian system with one degree of freedom
• Normal form of a Hamiltonian system with a periodic perturbation
• Normalization of a periodic Hamiltonian system
• Chaos in Bohmian quantum mechanics
• Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces

This page was built for publication: Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation