Superintegrable cases of four-dimensional dynamical systems

DOI10.1134/S1560354716020039zbMath1344.34026arXiv1510.05480MaRDI QIDQ294479

Oğul Esen, Hasan Gümral, Anindya Ghose Choudhury, Partha Guha

Publication date: 16 June 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05480

zbMATH Keywords

Darboux polynomialsfirst integrals4D Poisson structuresgeneralized Raychaudhuri equationsJacobi's last multiplierLü system and Qi systemShivamoggi equationstri-Hamiltonian structures

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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