Spatial and temporal resonances in a periodically forced hydrodynamic system

DOI10.1016/S0167-2789(99)00172-4zbMath0960.76027OpenAlexW1990318803WikidataQ127016014 ScholiaQ127016014MaRDI QIDQ1961688

J. M. Lopez, F. Marques

Publication date: 10 May 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00172-4

zbMATH Keywords

Floquet theoryparametric resonanceparameter spaceannular regionNaimark-Sacker bifurcationTaylor-Couette flowcircular Couette flowharmonic oscillationannular Stokes flowexcitation diagramperiodically forced spatially extended system

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Rotation in hydrodynamic stability (76E07)

Related Items (7)

Interacting oscillatory boundary layers and wall modes in modulated rotating convection ⋮ Increasing flow complexity in time-dependent modulated ferrofluidic Couette flow ⋮ Transient dynamics of the wavy regime in Taylor-Couette geometry ⋮ Axisymmetric propagating vortices in centrifugally stable Taylor–Couette flow ⋮ Pulsating spiral Poiseuille flow ⋮ Modulated waves in a periodically driven annular cavity ⋮ Temporal stability of eccentric Taylor–Couette–Poiseuille flow

Cites Work

• Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies
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• On the nature of turbulence
• On the linear stability of spiral flow between rotating cylinders
• Taylor–Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow
• On the competition between centrifugal and shear instability in spiral Couette flow
• Oscillatory flow states in an enclosed cylinder with a rotating endwall
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