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Homoclinic Chaos in a Kinetic Model of Heterogeneous Catalytic Reaction Научная публикация

Журнал

Computational Mathematics and Modeling
ISSN: 1046-283X

Вых. Данные

Год: 2026, DOI: 10.1007/s10598-026-09688-6

Ключевые слова

Dynamical system · Homoclinic chaos · Möbius orbit · Transversal homoclinic orbit · Kinetic model · Heterogeneous catalytic reaction

Авторы

Chumakov Gennadii A. ^1,2 , Chumakova Nataliya A. ^3,1

Организации

1	Novosibirsk State University, Pirogova St. 2, 630090, Novosibirsk, Russian Federation
2	Sobolev Institute of Mathematics SB RAS, Pr. Akad. Koptyuga 4, 630090, Novosibirsk, Russian Federation
3	Boreskov Institute of Catalysis SB RAS, Pr. Akad. Lavrentieva 5, 630090, Novosibirsk, Russian Federation

Информация о финансировании (2)

1	Министерство науки и высшего образования РФ	FWNF-2026-0026
2	Институт катализа им. Г.К. Борескова СО РАН	FWUR-2024-0037

This paper addresses the phenomenon of homoclinic chaos in a kinetic model with fast, intermediate, and slow variables. The model describes the dynamics of the heterogeneous catalytic reaction of interaction of hydrogen and oxygen on metallic catalyst. The subharmonic period-doubling cascade that is observed under a parameter variation in the system of three nonlinear ordinary differential equations leads to the generation of a global attractor. Using the Poincaré mapping and the second-iterate map, as well as their one-dimensional approximations, we prove the existence of a transversal homoclinic orbit to a saddle periodic Möbius orbit which generates the cascade of period-doubling bifurcations. The skeleton of the attractor consists of a family of unstable Möbius orbits of large periods. Numerical experiments show that a typical trajectory on the attractor under consideration is asymptotically chaotic.

Chumakov G.A. , Chumakova N.A.
Homoclinic Chaos in a Kinetic Model of Heterogeneous Catalytic Reaction
Computational Mathematics and Modeling. 2026. DOI: 10.1007/s10598-026-09688-6 Scopus OpenAlex

Поступила в редакцию:	25 окт. 2025 г.
Принята к публикации:	23 янв. 2026 г.
Опубликована online:	13 апр. 2026 г.

≡ Scopus:	2-s2.0-105035692927
≡ OpenAlex:	W7153975581