We give some deformations of the Rikitake two-disk dynamo system. Particularly, we
consider an integrable deformation of an integrable version of the Rikitake system. The …

Integrable deformations of a class of Rikitake dynamical systems are constructed by
deforming their underlying Lie-Poisson Hamiltonian structures, which are considered …

In this short communication, we deal with an integrability analysis of nonlinear three-
dimensional differential systems. Right-hand sides of these systems are linear in one …

In this paper, we study the SIR epidemic model with vital dynamics S.=− β SI+ μ N− S, I.= β
SI− γ+ μ I, R.= γ I− μ R, from the point of view of integrability. In the case of the death/birth …

The stretch-twist-fold (STF) flow is a variant of the dynamo model describing the generation
and behavior of magnetic fields in celestial bodies such as stars and planets. This study …

In this paper, we study a seven-parameter family of generalized Lorenz-like systems x˙= a
(y− x), y˙= b x+ cy− dxz, z˙= e z+ fx y+ gx 2, from the view of integrability, which includes …

一类三波作用模型的不变代数曲面, Hamilton结构及无穷远动力学行为 Page 1 第57卷第6期
吉林大学学报(理学版) Vol.57 No.6 2019年11月 JournalofJilinUniversity(ScienceEdition) Nov …

The segmented disc dynamos with or without friction are two basic models describing the
self-excitation of a magnetic field, which are used to understand the generation of magnetic …

In this paper, the complex dynamics of a quasi-periodic plasma perturbations (QPP) model,
which governs the interplay between a driver associated with pressure gradient and …

In this paper, we construct a family of integrable deformations of the Shimizu-Morioka
chaotic model. We discuss the stability of a particular deformed system which belongs to this …