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

For citation:

Sudakov I. A., Vakulenko S. A., Sukacheva T. G. New type of bifurcations in the modified Rayleigh–Benard convection problem. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 2, pp. 145-162. DOI: 10.18500/0869-6632-2013-21-2-145-162

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
532.516, 517.957
DOI: 
10.18500/0869-6632-2013-21-2-145-162

New type of bifurcations in the modified Rayleigh–Benard convection problem

Autors: 
Sudakov Ivan Alekseevich, University of Utah
Vakulenko Sergej Avgustovich, Institute of Problems of Mechanical Engineering of Russian Academy of Science
Sukacheva Tamara Gennadevna, Yaroslav-the-Wise Novgorod State University
Abstract: 

The original Rayleigh–Benard convection is a standard example of the system where bifurcations occur with changing of a control parameter. In this paper we consider the modified Rayleigh–Benard convection problem including radiative effects as well as gas sources on a surface. Such formulation leads to the identification of new type of bifurcations in the problem besides the well-known Benard cells. This problem is very important for mathematics of climate because it proves the occurrence of the climate system tipping point related to greenhouse gas emission into the atmosphere.

Key words: 
Rayleigh–Benard convection
bifurcations
radiation
gas emission
tipping point
climate
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Received: 
16.10.2012
Accepted: 
01.05.2013
Published: 
31.07.2013
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