Publications

@article{Gogoi2022b,
title = {Transition from inhomogeneous limit cycles to oscillation death in nonlinear oscillators with similarity-dependent coupling},
author = {P B Gogoi and S Kumarasamy and A Prasad and R Ramaswamy},
url = {https://doi.org/10.1063/5.0100595},
doi = {10.1063/5.0100595},
issn = {1054-1500},
year = {2022},
date = {2022-11-21},
journal = {Chaos},
volume = {32},
pages = {113138},
abstract = {We consider a system of coupled nonlinear oscillators in which the interaction is modulated by a measure of the similarity between the oscillators. Such a coupling is common in treating spatially mobile dynamical systems where the interaction is distance dependent or in resonance-enhanced interactions, for instance. For a system of Stuart–Landau oscillators coupled in this manner, we observe a novel route to oscillation death via a Hopf bifurcation. The individual oscillators are confined to inhomogeneous limit cycles initially and are damped to different fixed points after the bifurcation. Analytical and numerical results are presented for this case, while numerical results are presented for coupled Rössler and Sprott oscillators.},
keywords = {Complex Behaviour},
pubstate = {published},
tppubtype = {article}
}

@article{Sinha1988,
title = {Complex behaviour of the repressible operon},
author = {Somdatta Sinha and Ramakrishna Ramaswamy},
url = {https://ramramaswamy.org/papers/034.pdf},
doi = {10.1016/S0022-5193(88)80217-0},
issn = {10958541},
year = {1988},
date = {1988-01-01},
journal = {Journal of Theoretical Biology},
volume = {132},
number = {3},
pages = {307–318},
abstract = {The repressor-mediated repression process in bacteria is modelled using a gene-enzyme-endproduct control unit. A combined analytical-numerical study shows that the system, though stable normally, becomes unstable for super-repressing strains even at low values of the cooperativity of repression, provided demand for the endproduct saturates at large endproduct concentrations. In addition the system also shows bistability, i.e., the co-existence of a stable steady-state and a stable limit cycle. The tryptophan operon is used as a model system and the results are discussed in the light of differential regulation of gene expression in lower organisms, especially in mutant strains. textcopyright 1988 Academic Press Limited.},
keywords = {Bistability, Complex Behaviour, Gene, Operon},
pubstate = {published},
tppubtype = {article}
}