Doubly asymptotic trajectories and integrability conditions for Hamiltonian systems

zbMath0712.70031MaRDI QIDQ749255

Sergey V. Bolotin

Publication date: 1990

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

zbMATH Keywords

energy integralcharacteristic exponentsHamiltonian systemequilibrium positionsanalytic first integralsperturbed Lagrangiantransversal doubly asymptotic trajectory

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (6)

The absence of an additional real-analytic first integral in some problems of dynamics ⋮ Four-dimensional generalization of the Grioli precession ⋮ Unnamed Item ⋮ Differential Galois approach to the non-integrability of the heavy top problem ⋮ On the dynamic propagation of cracks ⋮ Variational methods of constructing chaotic motions in rigid-body dynamics

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