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Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables Conference Abstracts

Conference 9th International Conference on Mathematics in (bio)Chemical Kinetics and Engineering (MaCKiE-2015)
02-03 Jul 2015 , Ghent
Source MaCKiE-2015. Mathematics in (bio)Chemical Kinetics and Engineering. Book of Abstracts. July 2-3, 2015, Gent, Belgium.
Compilation, Ghent, Belgium.2015. ISBN 9789082401004.
Output data Year: 2015, Pages: 67-68 Pages count : 2
Authors Chumakov G.A. 1,4 , Chumakova L.G. 2 , Chumakova N.A. 3,4
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk 630090, Russia
2 School of Mathematics, The University of Edindurgh, Edinburgh, EH9 3FD, Scotland, UK
3 Boreskov Institute of Catalysis, Novosibirsk 630090, Russia
4 Novosibirsk State University, Novosibirsk 630090, Russia

Abstract: We study a scheme that allows us to generate homoclinic chaos in the three-dimensional system with fast, intermediate, and slow variables. For generation of the chaotic dynamics we find the parameters of the model under which the system exhibits a Feigenbaum cascade of period-doubling bifurcations. Numerical simulations are used to demonstrate the different types of periodic and chaotic behavior predicted by the model. In particular, as some parameter is varied, the subharmonic period-doubling cascade leads to generation of a global attractor in the system.
Cite: Chumakov G.A. , Chumakova L.G. , Chumakova N.A.
Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables
In compilation MaCKiE-2015. Mathematics in (bio)Chemical Kinetics and Engineering. Book of Abstracts. July 2-3, 2015, Gent, Belgium.. 2015. – C.67-68. – ISBN 9789082401004.
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Citing: Пока нет цитирований