Turing Instability Suppressed and Induced by Multiplicative Noise in Brusselator System
Turing Instability Suppressed and Induced by Multiplicative Noise in Brusselator System
物理学
Qasim Khan,Anthony Suen,Bao Quoc Tang.Turing Instability Suppressed and Induced by Multiplicative Noise in Brusselator System[EB/OL].(2025-03-20)[2025-10-25].https://arxiv.org/abs/2503.16642.点此复制
The effect of multiplicative noise to the Turing instability of the
Brusselator system is investigated. We show that when the noise acts on both of
the concentrations with the same intensities, then the Turing instability is
suppressed provided that the intensities are sufficiently large. This aligns
with the stabilizing effect of multiplicative noise in partial differential
equations. Utilizing the linearized system, we can quantify the magnitude of
noise which stabilizes the system. On the other hand, when the noise is
involving only one concentration, then the Turing instability can be triggered
with suitable intensities. These are confirmed by numerical simulations.
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