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Abstract:

We apply a Pyragas-type control in order to synchronize the solutions of a glycolytic model that exhibits an aperiodic behavior. This delay control is used to stabilize the orbits of ordinary differential nonlinear equations systems. Inspired by several works that studied the chaotic behavior of diverse systems for the enzymatic reactions in the presence of feedbacks, the control to two of these models is analyzed. © 2018, Society for Mathematical Biology.

Registro:

Documento: Artículo
Título:Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
Autor:Amster, P.; Alliera, C.
Filiación:Universidad de Buenos Aires, Buenos Aires, Argentina
IMAS-CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave:Bifurcation; Control theory; Delayed differential equation; Glycolysis
Año:2018
Volumen:80
Número:11
Página de inicio:2897
Página de fin:2916
DOI: http://dx.doi.org/10.1007/s11538-018-0492-5
Título revista:Bulletin of Mathematical Biology
Título revista abreviado:Bull. Math. Biol.
ISSN:00928240
CODEN:BMTBA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00928240_v80_n11_p2897_Amster

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Citas:

---------- APA ----------
Amster, P. & Alliera, C. (2018) . Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits. Bulletin of Mathematical Biology, 80(11), 2897-2916.
http://dx.doi.org/10.1007/s11538-018-0492-5
---------- CHICAGO ----------
Amster, P., Alliera, C. "Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits" . Bulletin of Mathematical Biology 80, no. 11 (2018) : 2897-2916.
http://dx.doi.org/10.1007/s11538-018-0492-5
---------- MLA ----------
Amster, P., Alliera, C. "Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits" . Bulletin of Mathematical Biology, vol. 80, no. 11, 2018, pp. 2897-2916.
http://dx.doi.org/10.1007/s11538-018-0492-5
---------- VANCOUVER ----------
Amster, P., Alliera, C. Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits. Bull. Math. Biol. 2018;80(11):2897-2916.
http://dx.doi.org/10.1007/s11538-018-0492-5