Falk, Johannes ; Mendler, Marc ; Drossel, Barbara (2017)
A minimal model of burst-noise induced bistability.
In: PLOS ONE, 12 (4)
doi: 10.1371/journal.pone.0176410
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2017 |
| Autor(en): | Falk, Johannes ; Mendler, Marc ; Drossel, Barbara |
| Art des Eintrags: | Bibliographie |
| Titel: | A minimal model of burst-noise induced bistability |
| Sprache: | Englisch |
| Publikationsjahr: | 27 April 2017 |
| Verlag: | PLOS |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PLOS ONE |
| Jahrgang/Volume einer Zeitschrift: | 12 |
| (Heft-)Nummer: | 4 |
| DOI: | 10.1371/journal.pone.0176410 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | 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. |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Festkörperphysik (2021 umbenannt in Institut für Physik Kondensierter Materie (IPKM)) 05 Fachbereich Physik > Institut für Festkörperphysik (2021 umbenannt in Institut für Physik Kondensierter Materie (IPKM)) > Statistische Physik und komplexe Systeme |
| Hinterlegungsdatum: | 07 Mai 2017 19:55 |
| Letzte Änderung: | 25 Mai 2023 10:06 |
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