Chaos synchronization with coexisting global fields
Grupo de Simulación, Modelado, Análisis y Accesibilidad, Universidad Católica de Cuenca, Cuenca, Ecuador
2 School of Physical Sciences and Nanotechnology, Universidad Yachay Tech, Urcuqui, Ecuador
Accepted: 16 December 2021
Published online: 29 December 2021
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.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021