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Imperfect chimera and synchronization in a hybrid adaptive conductance based exponential integrate and fire neuron model

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Abstract

In this study, the hybrid conductance-based adaptive exponential integrate and fire (CadEx) neuron model is proposed to determine the effect of magnetic flux on conductance-based neurons. To begin with, bifurcation analysis is carried out in relation to the input current, resetting parameter, and adaptation time constant in order to comprehend dynamical transitions. We exemplify that the existence of period-1, period-2, and period-4 cycles depends on the magnitude of input current via period doubling and period halving bifurcations. Furthermore, the presence of chaotic behavior is discovered by varying the adaptation time constant via the period doubling route. Following that, we examine the network behavior of CadEx neurons and discover the presence of a variety of dynamical behaviors such as desynchronization, traveling chimera, traveling wave, imperfect chimera, and synchronization. The appearance of synchronization is especially noticeable when the magnitude of the magnetic flux coefficient or the strength of coupling strength is increased. As a result, achieving synchronization in CadEx is essential for neuron activity, which can aid in the realization of such behavior during many cognitive processes.

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Data Availability

Data generated during the current study will be made available at reasonable request.

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Acknowledgements

We gratefully acknowledge this work is funded by the Center for Nonlinear Systems, Chennai Institute of Technology (CIT), India, vide funding number CIT/CNS/2023/RP-005.

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Authors and Affiliations

  1. Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, Tamilnadu, 600 069, India

    Sathiyadevi Kanagaraj, Premraj Durairaj & Karthikeyan Rajagopal

  2. Mathematical Institute, Oxford University, Oxford, OX2 6GG, UK

    Irene Moroz

  3. Department of Electronics and Communication Engineering, Vemu Institute of Technology, Chitoor, Andhra Pradesh, 517112, India

    Anitha Karthikeyan

  4. Department of Electronics and Communications Engineering and University Centre for Research & Development, Chandigarh University, Mohali, Punjab, 140 413, India

    Anitha Karthikeyan

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  1. Sathiyadevi Kanagaraj
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  4. Anitha Karthikeyan
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  5. Karthikeyan Rajagopal
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All the authors contributed equally to the preparation of this manuscript.

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Correspondence to Karthikeyan Rajagopal.

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Kanagaraj, S., Moroz, I., Durairaj, P. et al. Imperfect chimera and synchronization in a hybrid adaptive conductance based exponential integrate and fire neuron model. Cogn Neurodyn 18, 473–484 (2024). https://doi.org/10.1007/s11571-023-10000-0

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