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