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Thresholds and Growth of Instability and Turbulence in Fluids and Plasmas
註釋The theories of weak turbulence in the simplified models show that turbulence motion can be generated under the influence of an unperturbed stable limit cycle. The concepts such as bifurcations, chaos and strange attractors play an important role in these theories, which feature the basic appearance of turbulence. The study of a large number of interacting dissipative modes demonstrates the appearance of a strange attractor in the turbulence evolution theory, first suggested by Landau. The results show that the main stochastic characteristics of the dissipative system are similar to those of Hamiltonian systems, such as the exponential damping of the correlation function.