Multistability and Stochastic Phenomena in the Distributed Brusselator Model
2019 ◽
Vol 15
(1)
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Keyword(s):
Abstract An influence of random disturbances on the pattern formation in reaction–diffusion systems is studied. As a basic model, we consider the distributed Brusselator with one spatial variable. A coexistence of the stationary nonhomogeneous spatial structures in the zone of Turing instability is demonstrated. A numerical parametric analysis of shapes, sizes of deterministic pattern–attractors, and their bifurcations is presented. Investigating the corporate influence of the multistability and stochasticity, we study phenomena of noise-induced transformation and generation of patterns.
2007 ◽
Vol 40
(49)
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pp. 14687-14702
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Keyword(s):
2013 ◽
Vol 117
(4)
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pp. 764-769
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2013 ◽
Vol 49
(12)
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pp. 1164-1171
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Keyword(s):
1952 ◽
Vol 237
(641)
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pp. 37-72
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Keyword(s):