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Chaos synchronization with coexisting global fields

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Abstract

We investigate the phenomenon of chaos synchronization in systems subject to coexisting autonomous and external global fields by employing a simple model of coupled maps. Two states of chaos synchronization are found: (i) complete synchronization, where the maps synchronize among themselves and to the external field, and (ii) generalized or internal synchronization, where the maps synchronize among themselves but not to the external global field. We show that the stability conditions for both states can be achieved for a system of minimum size of two maps. We consider local maps possessing robust chaos and characterize the synchronization states on the space of parameters of the system. The state of generalized synchronization of chaos arises even when the drive and the local maps have the same functional form. This behavior is similar to the process of spontaneous ordering against an external field found in nonequilibrium systems.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Please note that this is a theoretical and computational work; there is no experimental or statistical data repository associated with this manuscript. The authors have elaborated the computer programs employed in the numerical calculations, and they can be shared with interested researchers upon request.]

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Acknowledgements

This work was supported by ViceCancillería de Investigación e Innovación, Universidad Yachay Tech, Ecuador, through Proyectos de Fondos Internos.

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Authors and Affiliations

  1. Grupo de Simulación, Modelado, Análisis y Accesibilidad, Universidad Católica de Cuenca, Cuenca, Ecuador

    O. Alvarez-Llamoza

  2. School of Physical Sciences and Nanotechnology, Universidad Yachay Tech, Urcuqui, Ecuador

    M. G. Cosenza

Authors
  1. O. Alvarez-Llamoza
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  2. M. G. Cosenza
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Correspondence to M. G. Cosenza.

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Alvarez-Llamoza, O., Cosenza, M.G. Chaos synchronization with coexisting global fields. Eur. Phys. J. Spec. Top. 231, 267–272 (2022). https://doi.org/10.1140/epjs/s11734-021-00417-1

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