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

For citation:

Kurushina S. E., Ivanov A. A. Dissipative structures of reaction–diffusion system simulation in multiplicative fluctuation phone. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 3, pp. 85-103. DOI: 10.18500/0869-6632-2010-18-3-85-103

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
517.957, 519.21, 519.62
DOI: 
10.18500/0869-6632-2010-18-3-85-103

Dissipative structures of reaction–diffusion system simulation in multiplicative fluctuation phone

Autors: 
Kurushina Svetlana Evgenevna, Samara State University
Ivanov Andrej Aleksandrovich, Samara National Research University
Abstract: 

The influence of multiplicative fluctuations of parameters of reaction­diffusion system on example of Gierer–Meinhardt model to formation of dissipative structures in soft mode instability regime was investigated. The system described interaction of non­decreased modes (order parameters) was received. It was shown that fluctuations of parameters are lead to changing of number of unstable modes, shifting of their eigenvalues and parametrical excitation of the system. The numerical simulation of described model evolution was received. The dependences of the dynamical variables fluctuation intensity in process of dissipative structures formation from the noise intensity were founded.

Key words: 
Reaction–diffusion system
dissipative structures
multiplicative fluctuations
unstable modes
parametrical excitation
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Received: 
07.09.2009
Accepted: 
03.12.2009
Published: 
30.06.2010
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