Darboux method identifies first integrals in generalized Lorenz systems, suggesting new approaches for dynamical analysis.
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
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Golda et al. (2025) studied this question.
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