https://doi.org/10.1140/epjp/s13360-022-03440-w
Regular Article
Effect of propagation noise on the network dynamics of a flux coupled conductance-based neuron model
1
Centre for Nonlinear Systems, Chennai Institute of Technology, 600 069, Chennai, Tamilnadu, India
2
Department of Electronics and Communications Engineering, University Centre for Research and Development, Chandigarh University, 140 413, Mohali, Punjab, India
Received:
13
July
2022
Accepted:
28
October
2022
Published online:
9
November
2022
We show the dynamical behavior of a flux coupled (memristive) conductance-based neuron (FCN) by exposing it to an external periodic stimulus. To do so, we first examine the local behavior of isolated FCN using bifurcation analysis, and we discover that the cascading bifurcation transitions between the periodic and chaotic attractors via period-doubling and inverse period-doubling routes. The observed attractors transitions are also supported by Lyapunov exponents. In addition, we check the antimonotonicity phenomenon using bifurcation analysis when tuning the amplitude of the external forcing current. Followed by the collective dynamical behaviors of FCN are explored by extending to the network of neurons under the influence of propagation noise. In the absence of noise, the transition from desynchronized to synchronized state is observed via chimera and cluster states. Similar dynamical transitions are noticed in the presence of propagation noise as well. Interestingly, we discovered that noise may aid in synchronization even at weak coupling strength. Our study will shed light on the emergent dynamics in the presence of additional propagation noise.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
