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A minimal model of burst-noise induced bistability

Falk, Johannes ; Mendler, Marc ; Drossel, Barbara (2017)
A minimal model of burst-noise induced bistability.
In: PLOS ONE, 2017, 12 (4)
Article, Secondary publication

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Type of entry: Secondary publication
Title: A minimal model of burst-noise induced bistability
Language: English
Date: 4 May 2017
Place of Publication: Darmstadt
Year of primary publication: 2017
Publisher: PLOS
Journal or Publication Title: PLOS ONE
Volume of the journal: 12
Issue Number: 4
Corresponding Links:
Origin: Secondary publication via sponsored Golden Open Access

We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified version of the SchloÈ gl model, which is a chemical reaction system with only one type of molecule. The strength of the intrinsic noise is varied without changing the deterministic description by introducing bursts in the autocatalytic production step. We study the transitions between monostable and bistable behavior in this system by evaluating the number of maxima of the stationary probability distribution. We find that changing the size of bursts can destroy and even induce saddle-node bifurcations. This means that a bursty production of molecules can qualitatively change the dynamics of a chemical reaction system even when the deterministic description remains unchanged.

URN: urn:nbn:de:tuda-tuprints-62073
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute for condensed matter physics (2021 merged in Institute for Condensed Matter Physics)
Date Deposited: 04 May 2017 07:49
Last Modified: 04 Jan 2024 10:32
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/6207
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