Differential Galois integrability obstructions for nonlinear three-dimensional differential systems
W Szumiński, M Przybylska - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
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 …
dimensional differential systems. Right-hand sides of these systems are linear in one …
Integrability of Oscillators and Transcendental Invariant Curves
J Giné, D Sinelshchikov - Qualitative theory of dynamical systems, 2025 - Springer
In this work we study the integrability of a family of nonlinear oscillators. Dynamical systems
from this family appear in different applications from mechanics to chemistry. We propose an …
from this family appear in different applications from mechanics to chemistry. We propose an …
On integrability of the Nosé–Hoover oscillator and generalized Nosé–Hoover oscillator
W Li, S Shi, S Yang - International Journal of Geometric Methods in …, 2022 - World Scientific
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 …
which describes the equilibrium characterized by canonical distributions at a constant …
Formal first integrals and higher variational equations
S Simon - arXiv preprint arXiv:2309.04449, 2023 - arxiv.org
The question of how Algebra can be used to solve dynamical systems and characterize
chaos was first posed in a fertile mathematical context by Ziglin, Morales, Ramis and Sim\'o …
chaos was first posed in a fertile mathematical context by Ziglin, Morales, Ramis and Sim\'o …
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 …