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 …

On the integrable stretch-twist-fold flow: Bi-Hamiltonian structures and global dynamics

M Xu, S Shi, K Huang - Journal of Mathematical Physics, 2024 - pubs.aip.org
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 …