Landau-Hopf scenario of passage to turbulence in some problems of elastic stability theory

DOI10.1134/S0012266112090066zbMath1381.76090OpenAlexW2081081001MaRDI QIDQ1938870

Anatoly Kulikov

Publication date: 25 February 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266112090066

Mathematics Subject Classification ID

Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Transition to turbulence (76F06)

Related Items (3)

Bifurcations of invariant tori in second-order quasilinear evolution equations in Hilbert spaces and scenarios of transition to turbulence ⋮ A possibility of realizing the Landau-Hopf scenario in the problem of tube oscillations under the action of a fluid flow ⋮ On one mathematical model in elastic stability theory

Cites Work

• Unnamed Item
• Unnamed Item
• Invariant tori of a class of point transformations: Preservation of an invariant torus under perturbations
• Development of Landau turbulence in the multiplier-accelerator model
• Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis
• Dynamics of flexible slender cylinders in axial flow Part 1. Theory
• A mathematical example displaying features of turbulence

This page was built for publication: Landau-Hopf scenario of passage to turbulence in some problems of elastic stability theory