New Insights on Non-integrability and Dynamics in a Simple Quadratic Differential System
J Qu, S Yang - Journal of Nonlinear Mathematical Physics, 2024 - Springer
This study focuses on the integrability and qualitative behaviors of a quadratic differential
system x˙= a+ yz, y˙=-y+ x 2, z˙= b-4 x. We provide some new perspectives on the system …
system x˙= a+ yz, y˙=-y+ x 2, z˙= b-4 x. We provide some new perspectives on the system …
On the integrability of the SIR epidemic model with vital dynamics
D Chen - Advances in Mathematical Physics, 2020 - Wiley Online Library
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 …
SI− γ+ μ I, R.= γ I− μ R, from the point of view of integrability. In the case of the death/birth …
On first integrals of a family of generalized Lorenz-like systems
S Yang, J Qu - Chaos, Solitons & Fractals, 2021 - Elsevier
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 …
(y− x), y˙= b x+ cy− dxz, z˙= e z+ fx y+ gx 2, from the view of integrability, which includes …
On integrability of the segmented disc dynamo: the effect of mechanical friction
S Yang, S Shi, W Li - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
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 …
self-excitation of a magnetic field, which are used to understand the generation of magnetic …
Rational Integrability of the Maxwell–Bloch System
J Qu, S Yang - International Journal of Bifurcation and Chaos, 2021 - World Scientific
The Maxwell–Bloch system arises naturally from laser models, which describes the
dynamics of a two-state quantum system coupled to the basic electromagnetic resonator …
dynamics of a two-state quantum system coupled to the basic electromagnetic resonator …
On a simple model for describing convection of the rotating fluid: integrability, bifurcations and global dynamics
J Jiao, S Yang, Q Zhou, K Huang - arXiv preprint arXiv:2102.06549, 2021 - arxiv.org
The Glukhovsky-Dolzhansky (GD) model arises naturally from geophysical science, which
describes rotating fluid convection inside the ellipsoid. This work aims to provide some new …
describes rotating fluid convection inside the ellipsoid. This work aims to provide some new …