The Lorenz system does not have a polynomial flow

DOI10.1016/0022-0396(89)90140-XzbMath0692.34049MaRDI QIDQ583454

Brian A. Coomes

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Lorenz systempolynomial flow

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items

On differences and similarities in the analysis of Lorenz, Chen, and Lu systems ⋮ Strong nilpotence holds in dimensions up to five only^∗ ⋮ Smooth Polynomial Paths with Nonanalytic Tangents ⋮ Finite-time blow-up in dynamical systems ⋮ Necessary and sufficient conditions for finite time singularities in ordinary differential equations ⋮ On completeness of quadratic systems ⋮ Blow-up solutions for a \(p\)-Laplacian elliptic equation of logistic type with singular nonlinearity ⋮ Linearization of polynomial flows and spectra of derivations

Cites Work

• Jacobian problems in differential equations and algebraic geometry
• Polynomial flows in the plane
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Deterministic Nonperiodic Flow
• Unnamed Item
• Unnamed Item
• Unnamed Item