A nonlinear memductance induced intermittent and anti-phase synchronization

Author:

Paul Asir M.1ORCID,Sathiyadevi K.2ORCID,Philominathan P.3,Premraj D.4ORCID

Affiliation:

1. Department of Physics, Central University of Rajasthan, Ajmer 305 817, India

2. Centre for Computation Biology, Chennai Institute of Technology, Chennai 600 069, Tamilnadu, India

3. Annai Vailankanni Arts and Science College, Thanjavur 613007, Tamilnadu, India

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

Abstract

We introduce a model to mimic the dynamics of oscillators that are coupled by mean-field nonlinear memductance. Notably, nonlinear memductance produces dynamic nonlinearity, which causes the direction of coupling to change over time. Depending on the parameters, such a dynamic coupling drives the trajectory of oscillators to a synchronization or anti-synchronization manifold. Specifically, depending on the forcing frequency and coupling strength, we find anti-phase and intermittent synchronization. With the increase in coupling magnitude, one can observe a transition from intermittent synchronization to complete synchronization through anti-phase synchronization. The results are validated through numerical simulations. The hypothesis has a huge impact on the study of neuronal networks.

Funder

Chennai Institute of Technology, Chennai

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Reference48 articles.

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5. Synchronization Dynamics of Two Heterogeneous Chaotic Rulkov Neurons with Electrical Synapses

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