Exponential factors and Darbouxian first integrals of the Lorenz system

DOI10.1063/1.1503152zbMath1060.34004OpenAlexW2090065521MaRDI QIDQ4832777

Xiang Zhang

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1503152

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34)

Related Items (11)

Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity ⋮ On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ On first integrals of a family of generalized Lorenz-like systems ⋮ Positive characteristic Darboux-Jouanolou integrability of differential forms ⋮ On the Darboux integrability of polynomial differential systems ⋮ Darboux-Jouanolou integrability over arbitrary fields ⋮ Algebraic integrability of polynomial differential \(r\)-forms ⋮ On theC¹non-integrability of differential systems via periodic orbits ⋮ On the Darboux integrability of a three–dimensional forced–damped differential system ⋮ Meromorphic and formal first integrals for the Lorenz system ⋮ Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity

Cites Work

• Unnamed Item
• Unnamed Item
• Equations de Pfaff algébriques
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ

This page was built for publication: Exponential factors and Darbouxian first integrals of the Lorenz system