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Synchronization of unidirectionally delay-coupled chaotic oscillators with memory

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  • Synchronization, Control and Data Analysis
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Abstract

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.

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Authors and Affiliations

  1. Centro Universitario de Los Lagos, Universidad de Guadalajara, Enrique Díaz de León, 1144, Paseo de la Montaña, Lagos de Moreno, Jalisco, México

    Rider Jaimes-Reátegui, Victor P. Vera-Ávila, Ricardo Sevilla-Escoboza, Guillermo Huerta-Cuéllar, Carlos E. Castañeda-Hernández & Roger Chiu-Zarate

  2. Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, Pozuelo de Alarcón, 28223, Madrid, Spain

    Alexander N. Pisarchik

  3. Centro de Investigaciones en Óptica, Loma del Bosque, 115, Col. Lomas del Campestre, León, 37150, Guanajuato, México

    Alexander N. Pisarchik

Authors
  1. Rider Jaimes-Reátegui
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  2. Victor P. Vera-Ávila
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  3. Ricardo Sevilla-Escoboza
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  4. Guillermo Huerta-Cuéllar
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  5. Carlos E. Castañeda-Hernández
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  6. Roger Chiu-Zarate
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  7. Alexander N. Pisarchik
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Correspondence to Rider Jaimes-Reátegui.

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Jaimes-Reátegui, R., Vera-Ávila, V.P., Sevilla-Escoboza, R. et al. Synchronization of unidirectionally delay-coupled chaotic oscillators with memory. Eur. Phys. J. Spec. Top. 225, 2707–2715 (2016). https://doi.org/10.1140/epjst/e2016-60031-7

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  • DOI: https://doi.org/10.1140/epjst/e2016-60031-7

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