Publications

@article{Manchanda2017,
title = {Collective dynamics in heterogeneous networks of neuronal cellular automata},
author = {K Manchanda and A Bose and R Ramaswamy},
url = {https://ramramaswamy.org/papers/167.pdf},
doi = {10.1016/j.physa.2017.06.021},
issn = {0378-4371},
year = {2017},
date = {2017-01-01},
journal = {Physica A: Statistical Mechanics and its Applications},
volume = {487},
pages = {111},
publisher = {Elsevier B.V.},
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‚àíb‚àí1 refractory states, and can show ‚Äòspiking’ or ‚Äòbursting’ 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 Erdõs‚ÄìRényi 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.},
keywords = {Binary Mixtures, Cellular automata, Discrete Dynamics, Lyapunov exponent, Network Motif},
pubstate = {published},
tppubtype = {article}
}

@article{Tadic1996a,
title = {Criticality in driven cellular automata with defects},
author = {Bosiljka Tadi{ć} and Ramakrishna Ramaswamy},
url = {https://ramramaswamy.org/papers/R13.pdf},
doi = {10.1016/0378-4371(95)00322-3},
issn = {03784371},
year = {1996},
date = {1996-01-01},
journal = {Physica A: Statistical Mechanics and its Applications},
volume = {224},
number = {1-2},
pages = {188–198},
abstract = {We study three models of driven sandpile-type automata in the presence of quenched random defects. When the dynamics is conservative, all these models, termed the random sites (A), random bonds (B), and random slopes (C), self-organize into a critical state. For model C the concentration-dependent exponents are nonuniversal. In the case of nonconservative defects, the asymptotic state is subcritical. Possible defect-mediated nonequilibrium phase transitions are also discussed.},
keywords = {Cellular automata, Criticality},
pubstate = {published},
tppubtype = {article}
}