Publications

@article{Singha2022,
title = {Phase-locking in k-partite networks of delay-coupled oscillators},
author = {J Singha and R Ramaswamy},
url = {https://www.sciencedirect.com/science/article/pii/S0960077922001576},
doi = {https://doi.org/10.1016/j.chaos.2022.111947},
issn = {0960-0779},
year = {2022},
date = {2022-03-11},
journal = {Chaos, Solitons, and Fractals},
volume = {157},
pages = {111947},
abstract = {We examine the dynamics of an ensemble of phase oscillators that are divided in k sets, with time-delayed coupling interactions only between oscillators in different sets or partitions. The network of interactions thus forms a k−partite graph. A variety of phase-locked states are observed; these include, in addition to the fully synchronized in-phase solution, splay cluster solutions in which all oscillators within a partition are synchronised and the phase differences between oscillators in different partitions are integer multiples of 2π/k. Such solutions exist independent of the delay and we determine the generalised stability criteria for the existence of these phase-locked solutions. With increase in time-delay, there is an increase in multistability, the generic solutions coexisting with a number of other partially synchronized solutions. The Ott-Antonsen ansatz is applied for the special case of a symmetric k−partite graph to obtain a single time-delayed differential equation for the attracting synchronization manifold. Agreement with numerical results for the specific case of oscillators on a tripartite lattice (the k=3 case) is excellent.},
keywords = {Delay coupling, Network},
pubstate = {published},
tppubtype = {article}
}

@article{Shrimali2010,
title = {Delay-coupled discrete maps: Synchronization, bistability, and quasiperiodicity},
author = {Manish Dev Shrimali and Rangoli Sharan and Awadhesh Prasad and Ram Ramaswamy},
url = {https://ramramaswamy.org/papers/129.pdf},
doi = {10.1016/j.physleta.2010.04.048},
issn = {03759601},
year = {2010},
date = {2010-01-01},
journal = {Physics Letters, Section A: General, Atomic and Solid State Physics},
volume = {374},
number = {26},
pages = {2636–2639},
abstract = {The synchronization transition is studied in delay-coupled logistic maps. For low coupling, in-phase and out-of-phase synchronous dynamics coexist, and with increasing coupling there is a regime of quasiperiodicity before eventual attraction to a fixed point at a critical value of coupling that depends on the nonlinearity. The presence of a region of asynchrony separating two synchronized regimes-termed anomalous behaviour-has been observed earlier in continuous systems and is shown here to occur in delay mappings as well. There are regions of in-phase, anti-phase, and out-of-phase dynamics of periodic as well as chaotic attractors. textcopyright 2010 Elsevier B.V.},
keywords = {Coupled maps, Delay coupling, Synchronization},
pubstate = {published},
tppubtype = {article}
}