Cubic first integrals of autonomous dynamical systems in $E^2$ by an algorithmic approach
DOI10.1063/5.0097329zbMath1511.37067arXiv2301.02473MaRDI QIDQ6422738
Antonios Mitsopoulos, Michael Tsamparlis
Publication date: 6 January 2023
Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
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