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| VOLUME 39 (1984) | ISSUE 12 |
PAGE 561
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Dynamic model of the spatial development of turbulence
Gaponov-Grekhov A. V. , Rabinovich M. I. , Starobinets I. M.
An infinite chain of sequentially coupled oscillators, which simulates a nonequilibrium dissipative medium with a flow, is used as an example to show that in the absence of perturbations at the boundary a turbulence, which develops "downstream along the flow," can be established in a non-mutually coupled nonlinear medium. In a steady-state regime the characteristics of the turbulence are determined solely by the degree of departure of the system from equilibrium and by the coordinate along the chain. The results obtained make it possible to judge the relationship between turbulence in semi-bounded systems and stochasticity in finite-dimensional dynamic systems.
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![](/ps/1304/article_19710_800_head.png "An infinite chain of sequentially coupled oscillators, which simulates a nonequilibrium dissipative medium with a flow, is used as an example to show that in the absence of perturbations at the boundary a turbulence, which develops "downstream along the flow," can be established in a non-mutually coupled nonlinear medium. In a steady-state regime the characteristics of the turbulence are determined solely by the degree of departure of the system from equilibrium and by the coordinate along the chain. The results obtained make it possible to judge the relationship between turbulence in semi-bounded systems and stochasticity in finite-dimensional dynamic systems.")