On the analytic integrability of the $5$–dimensional Lorenz system for the gravity–wave activity

DOI10.1090/S0002-9939-2013-11773-9zbMath1287.34003MaRDI QIDQ5398128

Xiang Zhang, Jaume Llibre, Radu Saghin

Publication date: 26 February 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

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) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

On the integrability of the $5$-dimensional Lorenz system for the gravity-wave activity ⋮ On some properties and symmetries of the 5-dimensional Lorenz system ⋮ On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves ⋮ The slow invariant manifold of the Lorenz-Krishnamurthy model ⋮ On the integrability of the SIR epidemic model with vital dynamics

Cites Work

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• First integrals and Darboux polynomials of natural polynomial Hamiltonian systems
• Differential Galois obstructions for non-commutative integrability
• On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited
• Local first integrals for systems of differential equations

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