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Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables Тезисы доклада

Конференция

9th International Conference on Mathematics in (bio)Chemical Kinetics and Engineering (MaCKiE-2015)
02-03 июл. 2015 , Ghent

Сборник

MaCKiE-2015. Mathematics in (bio)Chemical Kinetics and Engineering. Book of Abstracts. July 2-3, 2015, Gent, Belgium.
Сборник, Ghent, Belgium.2015. ISBN 9789082401004.

Вых. Данные

Год: 2015, Страницы: 67-68 Страниц : 2

Авторы

Chumakov G.A. ^1,4 , Chumakova L.G. ² , Chumakova N.A. ^3,4

Организации

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

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.

Chumakov G.A. , Chumakova L.G. , Chumakova N.A.
Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables
В сборнике 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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