Solution of the system of two coupled first-order ODEs with second-degree polynomial right-hand sides

DOI10.1007/s11040-021-09400-7zbMath1481.34005arXiv2012.14021OpenAlexW3193590595MaRDI QIDQ2239061

Farrin Payandeh, Francesco Calogero

Publication date: 2 November 2021

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.14021

zbMATH Keywords

solvable dynamical systemssolvable systems of nonlinearly-coupled ordinary differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Qualitative theory of planar differential systems
• Asymptotically isochronous systems
• Sur des systèmes différentiels du second ordre dont l'intégrale générale est uniforme
• Geometric Configurations of Singularities of Planar Polynomial Differential Systems
• New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides
• Solvable systems of two coupled first-order ODEs with homogeneous cubic polynomial 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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