Solvable systems of two coupled first-order ODEs with homogeneous cubic polynomial right-hand sides

DOI10.1063/5.0031963zbMath1460.34006arXiv2012.13621OpenAlexW3120315230MaRDI QIDQ5148685

Francesco Calogero, Farrin Payandeh

Publication date: 4 February 2021

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

Full work available at URL: https://arxiv.org/abs/2012.13621

zbMATH Keywords

solvable systemscoupled first-order ODEshomogeneous cubic polynomial right-hand sides

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (4)

Solution of the initial-value problem of first-order nonlinear recursions with homogeneous right-hand sides ⋮ Solution of the system of two coupled first-order ODEs with second-degree polynomial right-hand sides ⋮ Two Peculiar Classes of Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations ⋮ Classification of a class of systems of cubic ordinary differential equations

Cites Work

• Homogeneous-like generalized cubic systems
• Sur des systèmes différentiels du second ordre dont l'intégrale générale est uniforme
• New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides
• Polynomials with multiple zeros and solvable dynamical systems including models in the plane with polynomial interactions
• Isochronous Systems

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