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Synchronization of three Rössler systems coupled in linear configuration

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  • U. Uriostegui-Legorreta

    (Facultad de Ciencias Físico Matemáticas, UMSNH, Av. Francisco J. Múgica S/N, C. P. 58030, Morelia, Michoacán, México)

  • E. S. Tututi

    (Facultad de Ciencias Físico Matemáticas, UMSNH, Av. Francisco J. Múgica S/N, C. P. 58030, Morelia, Michoacán, México)

  • J. Estevez-Delgado

    (Facultad de Ciencias Físico Matemáticas, UMSNH, Av. Francisco J. Múgica S/N, C. P. 58030, Morelia, Michoacán, México)

  • H. Pérez-Aguilar

    (Facultad de Ciencias Físico Matemáticas, UMSNH, Av. Francisco J. Múgica S/N, C. P. 58030, Morelia, Michoacán, México)

Abstract

In this paper, we study the synchronization of three Piecewise Linear (PWL) Rössler systems that exhibit coexistence of two attractors, coupled in linear configuration. In particular, we analyze the four linear configurations of the network motifs. We analyze the interaction of the systems by varying the unidirectional or bidirectional coupling strengths depending on the case under study, in order to characterize the conditions under which complete synchronization between the three PWL Rössler systems are obtained. We have found, by means of the error functions, the range of values of the coupling strengths where the different types of synchronization occurs. The numerical results show that the interaction of various multistable chaotic systems causes different types of synchronization and very complex dynamics between the systems.

Suggested Citation

  • U. Uriostegui-Legorreta & E. S. Tututi & J. Estevez-Delgado & H. Pérez-Aguilar, 2025. "Synchronization of three Rössler systems coupled in linear configuration," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 36(12), pages 1-26, December.
    • Handle: RePEc:wsi:ijmpcx:v:36:y:2025:i:12:n:s012918312550041x
    DOI: 10.1142/S012918312550041X
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