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Collective dynamics in heterogeneous networks of neuronal cellular automata

Manchanda, Kaustubh and Bose, Amitabha and Ramaswamy, Ramakrishna (2017) Collective dynamics in heterogeneous networks of neuronal cellular automata. In: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 487 . pp. 111-124.

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Official URL: http://doi.org/10.1016/j.physa.2017.06.021

Abstract

We examine the collective dynamics of heterogeneous random networks of model neuronal cellular automata. Each automaton has b active states, a single silent state and r-b-1 refractory states, and can show `spiking' or `bursting' behavior, depending on the values of b. We show that phase transitions that occur in the dynamical activity can be related to phase transitions in the structure of Erclos-Renyi graphs as a function of edge probability. Different forms of heterogeneity allow distinct structural phase transitions to become relevant. We also show that the dynamics on the network can be described by a semi annealed process and, as a result, can be related to the Boolean Lyapunov exponent. (C) 2017 Elsevier B.V. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 23 Sep 2017 05:15
Last Modified: 23 Sep 2017 05:15
URI: http://eprints.iisc.ac.in/id/eprint/57842

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