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

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Kurushina S. E. Analytical research and numerical simulation of contrast dissipative structures in the field of fluctuations of dynamical variables. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 6, pp. 125-138. DOI: 10.18500/0869-6632-2009-17-6-125-138

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
536.75, 519.6
DOI: 
10.18500/0869-6632-2009-17-6-125-138

Analytical research and numerical simulation of contrast dissipative structures in the field of fluctuations of dynamical variables

Autors: 
Kurushina Svetlana Evgenevna, Samara State University
Abstract: 

The influence of additive homogeneous isotropic field of Gauss fluctuations of dynamical variables of Gierer–Meinhardt model to formation of dissipative structures in soft mode regime was investigated. The system of equations for description of undamped modes interaction was received. It was shown that fluctuations of dynamical variables are widening the instability region. The numerical simulation of considered model with different boundary condition was performed. It was shown that far from Turing bifurcation fluctuations further to acceleration of dissipative structures forming and change the order of location of separate peaks. 

Key words: 
dissipative structures
undamped modes
field of fluctuations of dynamical variables
numerical simulation
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Received: 
27.10.2008
Accepted: 
17.06.2009
Published: 
31.12.2009
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