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 …

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 …

We seize some new dynamics of a Lorenz-like system: x= a (y− x), y= dy− xz, z=− bz+ fx2+
gxy, such as for the Hopf bifurcation, the behavior of non-isolated equilibria, the existence of …

Invariant algebraic surfaces are commonly observed in differential systems arising in
mathematical modeling of natural phenomena. In this paper, we study the integrability and …

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 …

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, the zero-Hopf bifurcations are studied for a generalized Lorenz system. Firstly,
by using the averaging theory and normal form theory, we provide sufficient conditions for …

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 …

In this paper, the stability region of power systems is studied from a geometrical point of
view. A new method is proposed to obtain the global orbits (GOs) which have the …

Neste trabalho, consideramos aspectos algébricos e dinâmicos de alguns problemas
envolvendo superfícies algébricas invariantes em sistemas diferenciais polinomiais …