Order and chaos in time periodic Hamiltonian systems

DOI10.1016/j.physd.2021.132847zbMath1491.37058OpenAlexW3127584922MaRDI QIDQ2077873

A. C. Tzemos, George Contopoulos

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.132847

zbMATH Keywords

periodic systemsHamiltonian chaosapproximate integrals

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)

Related Items (1)

Introduction to special issue: Chaos indicators, phase space and chemical reaction dynamics

Uses Software

• Maple

Cites Work

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• 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
• Regular and chaotic dynamics.
• 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
• Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation
• Chaos in Bohmian quantum mechanics
• STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
• Improved accuracy of the Birkhoff-Gustavson normal form and its convergence properties
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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