Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system

DOI10.1142/S0219887819500592zbMath1421.37026OpenAlexW2916366125WikidataQ128350255 ScholiaQ128350255MaRDI QIDQ5232415

Shaoyun Shi, Kaiyin Huang, Zhi-Guo Xu

Publication date: 3 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887819500592

zbMATH Keywords

chaosnonintegrabilitybi-Hamiltonian structuresRikitake systemintegrable deformations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (8)

On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ On first integrals of a family of generalized Lorenz-like systems ⋮ On the integrable stretch-twist-fold flow: Bi-Hamiltonian structures and global dynamics ⋮ On a simple model for describing convection of the rotating fluid: integrability, bifurcations and global dynamics ⋮ On the integrability of the SIR epidemic model with vital dynamics ⋮ Complex dynamics in a quasi-periodic plasma perturbations model ⋮ On a deformed version of the two-disk dynamo system. ⋮ Differential Galois integrability obstructions for nonlinear three-dimensional differential systems

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