Strange Attractors in Fluid Dynamics

DOI10.1016/S0065-2156(08)70045-0zbMath0612.76067OpenAlexW1500300349MaRDI QIDQ3753688

J. W. Miles

Publication date: 1984

Published in: Advances in Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0065-2156(08)70045-0

zbMATH Keywords

strange attractorsHopf bifurcationsfractalsLorenz attractorspherical pendulumintermittencyRuelle-Takens scenarioBifurcation sequencesFeigenbaum period doublingHoward-Malkus- Welander convection modelLandau's modelLorenz's convection modelmodels for turbulence

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Turbulence (76F99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items

The role of periodic solutions in the Falkner-Skan problem for \(\lambda >0\) ⋮ Coupled Lorenz oscillators ⋮ Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experiment ⋮ Stability, sensitivity and optimisation of chaotic acoustic oscillations ⋮ Structure of an adaptive grid computational method from the viewpoint of dynamic chaos