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Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits

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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.

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Acknowledgements

We thank the anonymous referees for the helpful corrections and remarks. The authors acknowledge professors Javier Santos and Walter Reartes for their constructive comments. This work was supported by Projects CONICET PIP 11220130100006CO and UBACyT 20020160100002BA.

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Authors and Affiliations

  1. Universidad de Buenos Aires, Buenos Aires, Argentina

    Pablo Amster & Carlos Alliera

  2. IMAS-CONICET, Ciudad Universitaria, Pabellón I, 1428, Buenos Aires, Argentina

    Pablo Amster

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  1. Pablo Amster
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  2. Carlos Alliera
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Correspondence to Carlos Alliera.

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Amster, P., Alliera, C. Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits. Bull Math Biol 80, 2897–2916 (2018). https://doi.org/10.1007/s11538-018-0492-5

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  • DOI: https://doi.org/10.1007/s11538-018-0492-5

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