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

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Efimov A. V., Shabunin A. V. Formation and evolution of the spatial structures in the system of chemical reactions on the catalityc surface: Monte Carlo simulation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 2, pp. 47-63. DOI: 10.18500/0869-6632-2006-14-2-47-63

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
519.245+517.9+517.39
DOI: 
10.18500/0869-6632-2006-14-2-47-63

Formation and evolution of the spatial structures in the system of chemical reactions on the catalityc surface: Monte Carlo simulation

Autors: 
Efimov Anton Viktorovich, Saratov State University
Shabunin Aleksej Vladimirovich, Saratov State University
Abstract: 

The cluster formation in the cyclic (4+1)-Lattice – Lotka–Volterra model is studied by Kinetic Monte Carlo simulations on a square lattice support. The features of cluster size distribution, spatial autocorrelation function and other dependences of the spatial dynamics of the system are under consideration. The role of cluster formation process and it effect on the systems dynamics is studied in this work. We show that the external mixing added to the initial scheme leads to the periodic self-oscillations appearance. 

Key words: 
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Received: 
12.01.2005
Accepted: 
12.01.2005
Published: 
31.05.2006
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