Spatiotemporal Stochastic Resonance in the Swift-Hohenberg Equation
J. M. G. Vilar, J. M. Rub\'i
TL;DR
This paper demonstrates the occurrence of spatiotemporal stochastic resonance in the Swift-Hohenberg equation, highlighting how periodic parameter variation near bifurcation points can induce resonance phenomena in pattern-forming systems.
Contribution
It introduces the concept of spatiotemporal stochastic resonance in the Swift-Hohenberg equation and discusses its potential presence in other pattern-forming systems.
Findings
Spatiotemporal stochastic resonance appears near bifurcation points.
The phenomenon is analyzed using scaling arguments.
Possible manifestations in other systems are outlined.
Abstract
We show the appearance of spatiotemporal stochastic resonance in the Swift-Hohenberg equation. This phenomenon emerges when a control parameter varies periodically in time around the bifurcation point. By using general scaling arguments and by taking into account the common features occurring in a bifurcation, we outline possible manifestations of the phenomenon in other pattern-forming systems.
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