https://doi.org/10.1140/epjst/e2016-60031-7
Regular Article
Synchronization of unidirectionally delay-coupled chaotic oscillators with memory
1 Centro Universitario de Los Lagos, Universidad de Guadalajara, Enrique Díaz de León, 1144, Paseo de la Montaña, Lagos de Moreno, Jalisco, México
2 Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, Pozuelo de Alarcón, 28223 Madrid, Spain
3 Centro de Investigaciones en Óptica, Loma del Bosque, 115, Col. Lomas del Campestre, León 37150, Guanajuato, México
a e-mail: rider.jaimes@gmail.com
Received: 16 February 2016
Revised: 29 March 2016
Published online: 22 November 2016
We study synchronization of two chaotic oscillators coupled with time delay in a master-slave configuration and with delayed positive feedback in the slave oscillator which acts as memory. The dynamics of the slave oscillator is analyzed with bifurcation diagrams of the peak value of the system variable with respect to the coupling and feedback strengths and two delay times. For small coupling, when the oscillators’ phases synchronize, memory can induce bistability and stabilize periodic orbits, whereas for stronger coupling it is not possible. The delayed feedback signal impairs synchronization, simultaneously enhancing coherence of the slave oscillator.
© EDP Sciences, Springer-Verlag, 2016
