INFLUENCE OF FLUCTUATIONS ON EVOLUTION OF THREE-DIMENSIONAL TORUS IN NONAUTONOMOUS SYSTEM
Cite this article as:
Popova Е. S. INFLUENCE OF FLUCTUATIONS ON EVOLUTION OF THREE-DIMENSIONAL TORUS IN NONAUTONOMOUS SYSTEM. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 2, pp. 98-103. DOI: https://doi.org/10.18500/0869-6632-2012-20-2-98-103
The transition to chaos through the destruction of three-dimensional torus is studied in a nonautonomous system with quasi-periodic impact as example. Analysis is carried out of the influence both of additive noise and frequency fluctuations impact on the stability of three-dimensional torus. It is shown that under the influence of additive noise and frequency fluctuations impact Lyapunov exponent remains negative. This allows to conclude that in this model three-dimensional torus is structurally stable in contrast to theautonomous system.
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BibTeX
author = {Е. S. Popova},
title = {INFLUENCE OF FLUCTUATIONS ON EVOLUTION OF THREE-DIMENSIONAL TORUS IN NONAUTONOMOUS SYSTEM},
year = {2012},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {20},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/influence-of-fluctuations-on-evolution-of-three-dimensional-torus-in-nonautonomous-system},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2012-20-2-98-103},pages = {98--103},issn = {0869-6632},
keywords = {Three-dimensional torus,quasi-periodic force,effect of noise,Lyapunov exponent,strange nonchaotic attractor.},
abstract = {The transition to chaos through the destruction of three-dimensional torus is studied in a nonautonomous system with quasi-periodic impact as example. Analysis is carried out of the influence both of additive noise and frequency fluctuations impact on the stability of three-dimensional torus. It is shown that under the influence of additive noise and frequency fluctuations impact Lyapunov exponent remains negative. This allows to conclude that in this model three-dimensional torus is structurally stable in contrast to theautonomous system. }}