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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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
Publication:	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
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
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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