Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables - Доклады на конференциях | Sciact - CRIS-система Института катализа

Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables Доклады на конференциях

Язык

Английский

Тип доклада

Устный

Конференция

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

Авторы

Чумаков Геннадий Александрович ^1,4 , Чумакова Любовь Г. ² , Чумакова Наталия Алексеевна ^3,4

Организации

1	Институт математики имени С.Л. Соболева Сибирского отделения Российской академии наук
2	The University of Edinburgh
3	Институт катализа им. Г.К. Борескова СО РАН
4	Новосибирский национальный исследовательский государственный университет

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
9th International Conference on Mathematics in (bio)Chemical Kinetics and Engineering (MaCKiE-2015) 02-03 Jul 2015