An analytic proof of the nonintegrability of the ABC-flow for \(A=B=C\)

DOI10.1023/A:1026040802018zbMath1128.37306MaRDI QIDQ1434038

S. L. Ziglin

Publication date: 1 July 2004

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

zbMATH Keywords

fundamental groupmonodromy groupABC-flow

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (6)

Chaos around holographic Regge trajectories ⋮ Bounded analytic maps, wall fractions and ABC-flow ⋮ On certain integrable and superintegrable weight-homogeneous Hamiltonian systems ⋮ Analysis of stationary points and their bifurcations in the ABC-flow ⋮ A note on the first integrals of the ABC system ⋮ Jacobi structures in R3

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