Integrals of motion for the Lorenz system

DOI10.1063/1.530223zbMath0785.34009OpenAlexW2009942857MaRDI QIDQ4201690

Neelam Gupta

Publication date: 5 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530223

zbMATH Keywords

Lorenz systemintegrals of motion of the special form

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (5)

Invariant algebraic surfaces of the Lorenz system ⋮ On Darboux polynomials and rational first integrals of the generalized Lorenz system ⋮ Dynamics of the Lorenz system having an invariant algebraic surface ⋮ On theC¹non-integrability of differential systems via periodic orbits ⋮ Meromorphic and formal first integrals for the Lorenz system

Cites Work

• Integrating the nonintegrable: Analytic structure of the Lorentz system revisited
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Deterministic Nonperiodic Flow

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