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


Cite this article as:

Borina M. J., Polezhaev A. A. Spatial-temporal patterns in a multidimensional active medium formed due to polymodal interaction near the wave bifurcation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 6, pp. 15-24. DOI: https://doi.org/10.18500/0869-6632-2012-20-6-15-24?

Language: 
Russian

Spatial-temporal patterns in a multidimensional active medium formed due to polymodal interaction near the wave bifurcation

Autors: 
Borina Marija Jurevna, P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Polezhaev Andrej Aleksandrovich, P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Abstract: 

Investigation of a set of amplitude equations, describing interaction of several modes which became unstable due to the wave bifurcation, is carried out. It is shown that as a result of competition between modes depending on the value of the parameter defining the strength of interaction only two regimes are possible: either quasi one-dimensional travelling waves (there exists only one nonzero mode) or standing waves (al the modes are nonzero). This result is supported by numerical experiments for the Gierer-Mainhrdt model modified by addition of one more equation for the second fast diffusing inhibitor.

DOI: 
10.18500/0869-6632-2012-20-6-15-24?
References: 

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