The onset and spatial development of turbulence in flow systems

DOI10.1016/S0167-2789(98)90004-5zbMath0655.76045OpenAlexW1967034436MaRDI QIDQ1109633

A. V. Gaponov-Grekhov, Igor S. Aranson, Mikhail I. Rabinovich

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)90004-5

zbMATH Keywords

self-generationdevelopment of spatio-temporal chaos - turbulence - in flow systemsperiod doubling downstreamspatial bifurcations

Mathematics Subject Classification ID

Turbulence (76F99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

Spatio-temporal chaos in closed and open systems ⋮ Convective instability with time scale translation of the transmitted fluctuation ⋮ Pattern dynamics of a coupled map lattice for open flow ⋮ Stable particle-like solutions of multidimensional nonlinear fields ⋮ Is intermittent motion of outer flow in the turbulent boundary layer deterministic chaos? ⋮ Classification of solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point ⋮ Universality and scaling in two-dimensional coupled map lattices ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps ⋮ Predictability: a way to characterize complexity ⋮ Stationary waves in a third-order nonlinear Schrödinger equation. ⋮ Chaotic spatial bifurcation by complex coupling ⋮ Cooperative behavior of a chain of synaptically coupled chaotic neurons ⋮ Using advection to control the velocity of patterns in rings of maps

Cites Work

• Unnamed Item
• The infinite number of generalized dimensions of fractals and strange attractors
• Mode-locking and chaos in Rayleigh-Bénard convection
• Quantitative universality for a class of nonlinear transformations
• Dynamics of spiral waves in non-equilibrium media

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