Synchronization properties of coupled chaotic neurons: The role of random shared input

Spike-time correlations of neighbouring neurons depend on their intrinsic firing properties as well as on the inputs they share. Studies have shown that periodically firing neurons, when subjected to random shared input, exhibit asynchronicity. Here, we study the effect of random shared input on the...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2016-06, Vol.26 (6), p.063118-063118
Main Authors: Kumar, Rupesh, Bilal, Shakir, Ramaswamy, Ram
Format: Article
Language:English
Subjects:
Action Potentials - physiology
Animals
BRAIN
CHAOS THEORY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computer simulation
COMPUTERIZED SIMULATION
Coupling
Function analysis
MATHEMATICAL METHODS AND COMPUTING
NERVE CELLS
Neurons
Neurons - physiology
Nonlinear Dynamics
Organic chemistry
PERIODICITY
RANDOMNESS
Stability analysis
Synchronism
SYNCHRONIZATION
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Summary:Spike-time correlations of neighbouring neurons depend on their intrinsic firing properties as well as on the inputs they share. Studies have shown that periodically firing neurons, when subjected to random shared input, exhibit asynchronicity. Here, we study the effect of random shared input on the synchronization of weakly coupled chaotic neurons. The cases of so-called electrical and chemical coupling are both considered, and we observe a wide range of synchronization behaviour. When subjected to identical shared random input, there is a decrease in the threshold coupling strength needed for chaotic neurons to synchronize in-phase. The system also supports lag–synchronous states, and for these, we find that shared input can cause desynchronization. We carry out a master stability function analysis for a network of such neurons and show agreement with the numerical simulations. The contrasting role of shared random input for complete and lag synchronized neurons is useful in understanding spike-time correlations observed in many areas of the brain.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4954377