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 …

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 …

The Nosé–Hoover system is a basic primitive model for the molecular dynamics simulations,
which describes the equilibrium characterized by canonical distributions at a constant …

In this paper, we study geodesics of left-invariant sub-Riemannian metrics on the Cartesian
square of a connected two-dimensional non-commutative Lie group, where the metric is …

The Kovalevskaya exponents are widely used in the theory of the integrability of dynamical
systems. There are many works about this subject. In this survey we list the main results on …

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 …

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 study geodesics of left-invariant sub-Riemannian metrics on the Cartesian
square of a connected two-dimensional non-commutative Lie group, where the metric is …

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 …