Nonlinear resonances in the ABC-flow

DOI10.1063/1.5003426zbMath1395.37022arXiv1802.00557OpenAlexW3102769316WikidataQ49485563 ScholiaQ49485563MaRDI QIDQ4565909

M. Yu. Uleysky, A. A. Didov

Publication date: 13 June 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00557

zbMATH Keywords

nonlinear resonancesABC flow

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

A kind of Lagrangian chaotic property of the Arnold–Beltrami–Childress flow ⋮ Stable and unstable periodic orbits and their bifurcations in the nonlinear dynamical system with a fixed point vortex in a periodic flow ⋮ Analysis of stationary points and their bifurcations in the ABC-flow

Cites Work

• Unnamed Item
• Invariant curves of analytic perturbed nontwist area preserving maps
• Invariant tori and chaotic streamlines in the ABC flow
• On bifurcations in degenerate resonance zones
• Topological constraints associated with fast dynamo action
• Chaotic streamlines in the ABC flows
• Weak Chaos and Quasi-Regular Patterns
• Magnetic field generation by the motion of a highly conducting fluid
• Chaotic and Resonant Streamlines in the ABC Flow

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