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

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Bykov V. I., Dobronec B. S. The forecast of nonlinear dynamics in kinetic region by interval analysis methods. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 1, pp. 18-25. DOI: 10.18500/0869-6632-2004-12-1-18-25

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
541.124/128
DOI: 
10.18500/0869-6632-2004-12-1-18-25

The forecast of nonlinear dynamics in kinetic region by interval analysis methods

Autors: 
Bykov Valery I, Krasnoyarsk State Technical University
Dobronec Boris Stanislavovich, Novosibirsk State University
Abstract: 

For the first time methods of the interval analysis of dynamic systems are offered to use with the purpose of forecast of dynamics of nonlinear processes in kinetic region. For the equations of chemical kinetic the problem of the interval analysis of their decisions at variations kinetic parameters and initial data is formulated. The classes of chemical reactions mechanisms are determined, for which the exact bilateral estimations of decisions can be received. A series of nonlinear examples with the multiplicity steady states and oscillations is given. The features of the forecast of the reactions dynamic in kinetic region are determined оп the large intervals of time.

Key words: 
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Received: 
29.05.2003
Accepted: 
08.04.2004
Published: 
20.06.2004
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