Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\)

DOI10.1016/0167-2789(87)90015-7zbMath0629.70013OpenAlexW158668637MaRDI QIDQ1094164

V. M. Gorringe, Peter G. L. Leach

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90015-7

zbMATH Keywords

existence of autonomous first integralsorbit equationtwo-dimensional autonomous Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

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• On the polynomial first integrals of certain second-order differential equations
• Classes of potentials of time-dependent central force fields which possess first integrals quadratic in the momenta
• Comment on an aspect of a paper by G. Thompson
• Hamilton-like vectors for a class of Kepler problems with a force proportional to the velocity