LORENZ ATTRACTOR IN FLOWS OF SIMPLE SHIFT


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Mukhamedov А. М. LORENZ ATTRACTOR IN FLOWS OF SIMPLE SHIFT. Izvestiya VUZ. Applied Nonlinear Dynamics, 2007, vol. 15, iss. 1, pp. 61-70. DOI: https://doi.org/10.18500/0869-6632-2007-15-1-61-70


In the frame of a model given before for simulation of chaotic dynamics of continuum medium the Lorenz attractor is represented. The simulation is given with the help of the structures that define the geometry of a fiber bundle associated with 3-dimensional regime of velocity pulsations. Lorenz dynamics appears as time dependence of pulsations along the lines of average flow.

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DOI: 
10.18500/0869-6632-2007-15-1-61-70
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BibTeX

@article{Мухамедов -IzvVUZ_AND-15-1-61,
author = {А. М. Mukhamedov },
title = {LORENZ ATTRACTOR IN FLOWS OF SIMPLE SHIFT},
year = {2007},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {15},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/lorenz-attractor-in-flows-of-simple-shift},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2007-15-1-61-70},pages = {61--70},issn = {0869-6632},
keywords = {-},
abstract = {In the frame of a model given before for simulation of chaotic dynamics of continuum medium the Lorenz attractor is represented. The simulation is given with the help of the structures that define the geometry of a fiber bundle associated with 3-dimensional regime of velocity pulsations. Lorenz dynamics appears as time dependence of pulsations along the lines of average flow. }}