The \(ABC\)-flow is not integrable for \(A=B\)

DOI10.1007/BF02509455zbMath0877.58050MaRDI QIDQ677687

S. L. Ziglin

Publication date: 18 November 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

meromorphic first integralideal incompressible fluidfluid dynamicsmagnetic dynamo theory

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Applications of dynamical systems (37N99)

Related Items

Bounded analytic maps, wall fractions and ABC-flow, On certain integrable and superintegrable weight-homogeneous Hamiltonian systems, Distinguished material surfaces and coherent structures in three-dimensional fluid flows, Analysis of stationary points and their bifurcations in the ABC-flow, Non-integrability of ABC flow, A note on the first integrals of the ABC system, On the absence of a real-analytic first integral for ABC flow when A=B

Cites Work

• On the non-integrability of some generalized Toda lattices
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