Abstract
Natural objects evolve from initial chaotic motions to order through a fascinating internal self-organization, which is embedded in their structure. The dynamics of this process is the focus of this work. They can be subjected to temporal and spatial variations or retain their stability for a long time. Ordered structures surround us ubiquitously on Earth; numerous examples of self-organization are observed in space. Turbulent flows characterized by a great variety of dynamical processes are widespread in the surrounding world. We mainly focus on the problems of macroscopic modeling these natural flows.
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- 1.
The two-period motion corresponds to a trajectory on the torus (two-dimensional tube) on which the appearance of chaos is forbidden by the well-known Poincare—Bendixson theorem.
- 2.
Indeed, most recent measurements made with the heterodyne detector of the Herschel Space Telescope found the D/H ratio in the comet Hartley-2 to be 1,57x10−4 - similar to that in the Earth’s oceans (Hartough et al., Nature 478, pp. 218–220, 2011).
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Marov, M.Y., Kolesnichenko, A.V. (2013). Turbulent Chaos and Self-Organization in Cosmic Natural Media. In: Turbulence and Self-Organization. Astrophysics and Space Science Library, vol 389. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5155-6_1
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