Transition to chaos in a shell model of turbulence

DOI10.1016/0167-2789(95)90065-9zbMath0899.76241arXivchao-dyn/9402005OpenAlexW2953154342MaRDI QIDQ1342716

V. Pereyra

Publication date: 12 January 1995

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9402005

zbMATH Keywords

dynamical systemstrange attractorstable fixed pointenergy cascadeKolmogorov scalingthree-dimensional turbulencebi-orthgonal decompositionintermittent one-dimensional mapmultifractional correctionsRuelle-Takens scenariosymmetries of Navier Stokes

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20)

Related Items (15)

Scaling and linear response in the GOY turbulence model ⋮ How the viscous subrange determines inertial range properties in turbulence shell models ⋮ Sharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulence ⋮ TRANSITION TO CHAOS IN A SHELL MODEL OF TURBULENCE WITH THE CHANGE OF THE VISCOSITY ⋮ Turbulent binary fluids: A shell model study ⋮ Intermittency, chaos and singular fluctuations in the mixed Obukhov-Novikov shell model of turbulence ⋮ Kinetic wave turbulence ⋮ Pulses in the zero-spacing limit of the GOY model ⋮ Control parameter optimization for turbulence shell model ⋮ Spectral properties of helical turbulence ⋮ Links between dissipation, intermittency, and helicity in the GOY model revisited ⋮ (1+1)-dimensional turbulence ⋮ Spontaneous Stochasticity of Velocity in Turbulence Models ⋮ SUDDEN OCCURRENCE OF CHAOS-II IN NONSMOOTH MAPS ⋮ Inertial Obukhov-Bolgiano interval in shell models of convective turbulence

Cites Work

• Predictability in the large: an extension of the concept of Lyapunov exponent

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