混沌边缘与湍流的起源。
Edge of chaos and genesis of turbulence.
作者信息
Chian Abraham C-L, Muñoz Pablo R, Rempel Erico L
机构信息
National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos-SP 12227-010, Brazil and Observatoire de Paris, LESIA, CNRS, 92195 Meudon, France and Institute of Aeronautical Technology (ITA), CTA/ITA/IEFM, São José dos Campos-SP 12228-900, Brazil.
National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos-SP 12227-010, Brazil and Institute of Aeronautical Technology (ITA), CTA/ITA/IEFM, São José dos Campos-SP 12228-900, Brazil.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052910. doi: 10.1103/PhysRevE.88.052910. Epub 2013 Nov 18.
The edge of chaos is analyzed in a spatially extended system, modeled by the regularized long-wave equation, prior to the transition to permanent spatiotemporal chaos. In the presence of coexisting attractors, a chaotic saddle is born at the basin boundary due to a smooth-fractal metamorphosis. As a control parameter is varied, the chaotic transient evolves to well-developed transient turbulence via a cascade of fractal-fractal metamorphoses. The edge state responsible for the edge of chaos and the genesis of turbulence is an unstable traveling wave in the laboratory frame, corresponding to a saddle point lying at the basin boundary in the Fourier space.
在一个由正则化长波方程建模的空间扩展系统中，在向永久时空混沌转变之前，对混沌边缘进行了分析。在共存吸引子存在的情况下，由于光滑分形蜕变，混沌鞍点在盆地边界处产生。随着控制参数的变化，混沌瞬态通过一系列分形 - 分形蜕变演化为充分发展的瞬态湍流。负责混沌边缘和湍流产生的边缘态是实验室坐标系中的一个不稳定行波，对应于傅里叶空间中位于盆地边界的一个鞍点。
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