New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides

DOI10.1063/5.0011257zbMath1460.34005arXiv2009.11200OpenAlexW3093593409WikidataQ115327880 ScholiaQ115327880MaRDI QIDQ5141092

Francesco Calogero, F. Leyvraz, Robert Conte

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11200

zbMATH Keywords

algebraically solvable systemspurely quadratic right-hand sides

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Non-commutative generalization of integrable quadratic ODE systems
• Newtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve \(\mu^{2}= \nu^{n}-1, n \in \mathbb Z\): ergodicity, isochrony and fractals
• Asymptotically isochronous systems
• Sur des systèmes différentiels du second ordre dont l'intégrale générale est uniforme
• Darboux method and search of invariants for the Lotka–Volterra and complex quadratic systems
• Solvable Dynamical Systems in the Plane with Polynomial Interactions
• Polynomials with multiple zeros and solvable dynamical systems including models in the plane with polynomial interactions
• A solvable N-body problem in the plane. I
• Isochronous Systems
• Necessary condition for the existence of algebraic first integrals
• Necessary condition for the existence of algebraic first integrals

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