STUDYING OF SPATIAL TRANSITION TO TEMPORAL CHAOS IN ACTIVE MEDIUM WITH UNIDIRECTIONAL COUPLING


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Astakhov S. V., Vadivasova Т. Е., Anishenko V. S. STUDYING OF SPATIAL TRANSITION TO TEMPORAL CHAOS IN ACTIVE MEDIUM WITH UNIDIRECTIONAL COUPLING. Izvestiya VUZ, Applied Nonlinear Dynamics, 2008, vol. 16, iss. 2, pp. 122-130 DOI: 10.18500/0869-6632-2008-16-2-122-130


In the work a new model of a continuous active medium with unidirectional coupling of active elements is proposed. The Anishchenko–Astakhov oscillator was selected as an active element. The model shows both regular and chaotic in time regimes. The results  obtained for the medium are compared with the results for a chain of Anishchenko–Astakhov oscillators. The problem of conformity between the discrete model and the continuous medium is analyzed.

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DOI: 
10.18500/0869-6632-2008-16-2-122-130
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BibTeX

@article{Астахов -IzvVUZ_AND-16-2-122,
author = {S. V. Astakhov and Т. Е. Vadivasova and Vadim S. Anishenko},
title = {STUDYING OF SPATIAL TRANSITION TO TEMPORAL CHAOS IN ACTIVE MEDIUM WITH UNIDIRECTIONAL COUPLING},
year = {2008},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {16},number = {2},
url = {http://andjournal.sgu.ru/en/articles/studying-of-spatial-transition-to-temporal-chaos-in-active-medium-with-unidirectional},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2008-16-2-122-130},pages = {122--130},issn = {0869-6632},
keywords = {-},
abstract = {In the work a new model of a continuous active medium with unidirectional coupling of active elements is proposed. The Anishchenko–Astakhov oscillator was selected as an active element. The model shows both regular and chaotic in time regimes. The results  obtained for the medium are compared with the results for a chain of Anishchenko–Astakhov oscillators. The problem of conformity between the discrete model and the continuous medium is analyzed. }}