Normal form of a Hamiltonian system with a periodic perturbation

DOI10.1134/S0965542520010066zbMath1490.37083MaRDI QIDQ2206407

Alexander D. Bruno

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

periodic perturbationHamiltonian systemfamilies of periodic solutionsreduced normal form

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (4)

Five new methods of celestial mechanics ⋮ Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation ⋮ Invariant coordinate subspaces of normal form of a system of ordinary differential equations ⋮ Order and chaos in time periodic Hamiltonian systems

Uses Software

• Qhull

Cites Work

• The quickhull algorithm for convex hulls
• Exact algorithms and software in optimization and polyhedral computation
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