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Mixed Synchronization in the Presence of Cyclic Chaos

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Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

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Abstract

In this paper, we study the synchronization behavior of discrete and continuous cyclic systems. We show the emergence of the mixed synchronization states, where both the synchronized and the anti synchronized behaviors can coexist. The mixed synchronized states are shown to depend only on the initial conditions and the basin of attraction is numerically estimated.

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Acknowledgements

One of us (G.P M) has been supported by the Polish National Centre, Maestro program—Project No. 2013/08/ST8/00/780. We also acknowledge Soumitro Banerjee and Subhasis Sinha for their input and useful discussions in relation to this work.

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Authors and Affiliations

  1. Indian Institute of Science Education and Research—Kolkata, Mohanpur, 741246, India

    Gokul PM & Anandamohan Ghosh

  2. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-457, Lodz, Poland

    Gokul PM & Tomasz Kapitaniak

Authors
  1. Gokul PM
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  2. Tomasz Kapitaniak
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  3. Anandamohan Ghosh
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Corresponding author

Correspondence to Tomasz Kapitaniak .

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Editors and Affiliations

  1. Stern College for Women, Yeshiva University, New York, New York, USA

    Mark Edelman

  2. INPE/LAC, Instituto Nacional de Pesquisas Espaciai, São José dos Campos, São Paulo, Brazil

    Elbert E. N. Macau

  3. Departamento de Fisica, Universidad Rey Juan Carlos, Móstoles, Madrid, Spain

    Miguel A. F. Sanjuan

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PM, G., Kapitaniak, T., Ghosh, A. (2018). Mixed Synchronization in the Presence of Cyclic Chaos. In: Edelman, M., Macau, E., Sanjuan, M. (eds) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-68109-2_4

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