This paper studies the dynamics and integrability of a variable-length coupled pendulum
system. The complexity of the model is presented by joining various numerical methods …

This paper investigates the dynamics and integrability of the double spring pendulum, which
has great importance in studying nonlinear dynamics, chaos, and bifurcations. Being a …

Relativistic Hamiltonian systems of n degrees of freedom in static curved spaces are
considered. The source of space-time curvature is a scalar potential V (q). In the limit of …

The aim of this paper is to investigate a generalized Rikitake system from the integrability
point of view. For the integrable case, we derive a family of integrable deformations of the …

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 the field of machine learning, comprehending the intricate training dynamics of neural
networks poses a significant challenge. This paper explores the training dynamics of neural …

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 …

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 …

微分动力系统的极限环与等时中心是微分方程定性理论中2 个经典问题, 也是微分方程定性理论
领域的研究热点, 其研究有重要理论意义和应用价值. 相较于平面系统, 三维微分系统的极限环与 …