ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Popova E. 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: 10.18500/0869-6632-2012-20-2-98-103

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
518.30

Influence of fluctuations on evolution of three-dimensional torus in nonautonomous system

Autors: 
Popova Elena Sergeevna, Saratov State University
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 the autonomous system. 

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Received: 
06.10.2012
Accepted: 
30.01.2012
Published: 
29.06.2012
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