Local integrability of a family of three-dimensional quadratic systems

DOI10.1016/j.physd.2013.09.001zbMath1286.37058OpenAlexW2070257788MaRDI QIDQ2448674

Valery G. Romanovski, Zhaoping Hu, Mao'an Han

Publication date: 5 May 2014

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2013.09.001

zbMATH Keywords

Darboux integrabilityreversibilityanalytic first integralsinvariant planeintegrability variety

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Weak Bi-Center and Bifurcation of Critical Periods in a Three-Dimensional Symmetric Quadratic System, Local integrability and linearizability of a \((1:-1:-1)\) resonant quadratic system, Time-Reversibility and Ivariants of Some 3-dim Systems, Complete integrability and time-reversibility of some 3-dim systems, Integrability and linearizability of symmetric three-dimensional quadratic systems, Isochronous solutions of a 3-dim symmetric quadratic system, Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2, Integrability and linearizability of a family of three-dimensional quadratic systems

Uses Software

• SINGULAR
• primdec

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