Commuting planar polynomial vector fields for conservative newton systems

DOI10.1145/3313880.3313883zbMath1439.37055arXiv1802.00831OpenAlexW2920329597MaRDI QIDQ4630312

Joel Nagloo, Alexey Ovchinnikov, Peter M. Thompson

Publication date: 29 March 2019

Published in: ACM Communications in Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00831

zbMATH Keywords

derivationpolynomial vector fieldscommuting vector fieldsconservative Newton system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Commutative rings of differential operators and their modules (13N10) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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