Darboux Polynomials and First Integrals for the Generalized Lorenz System

We study the generalized Lorenz dynamical system describing convective phenomena in magnetized fluid. We employ computer algebra to effectively support the Darboux method of solving differential equations. Darboux polynomials and various types of first integrals are determined. Abstract Published by the Jagiellonian University 2025 authors

Authors

Zdzisław A. Golda (ORCID: https://orcid.org/0000-0001-9057-5702)
Andrzej Woszczyna

Publication Details

Journal: Acta Physica Polonica B
Published: 2025-12-09
DOI: https://doi.org/10.5506/aphyspolb.56.12-a7
Primary Topic: Chaos control and synchronization
Type: article
Field-Weighted Citation Impact: 0.00

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article

Darboux Polynomials and First Integrals for the Generalized Lorenz System

Zdzisław A. Golda, Andrzej Woszczyna

Dec 9, 2025

Acta Physica Polonica B

Chaos control and synchronization

article

Darboux Polynomials and First Integrals for the Generalized Lorenz System

Zdzisław A. Golda, Andrzej Woszczyna

December 9, 2025article en

Abstract

Acta Physica Polonica BVol. 56(12)

Openalex Percentile: Top 69%

Chaos control and synchronization

DOI Open Access PDF OpenAlex

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Darboux Polynomials and First Integrals for the Generalized Lorenz System — Zdzisław A. Golda, Andrzej Woszczyna · Acta Physica Polonica B (2025) | TGRS Research Map | TGRS