Publications

@article{Saxena2014,
title = {Amplitude death: The cessation of oscillations in coupled nonlinear dynamical systems},
author = {Garima Saxena and Nirmal Punetha and Awadhesh Prasad and Ram Ramaswamy},
url = {https://ramramaswamy.org/papers/RC44.pdf},
doi = {10.1063/1.4865354},
issn = {15517616},
year = {2014},
date = {2014-01-01},
journal = {AIP Conference Proceedings},
volume = {1582},
pages = {158–171},
abstract = {Here we extend a recent review (Physics Reports $backslash$bf 521, 205 (2012)) of amplitude death, namely the suppression of oscillations due to the coupling interactions between nonlinear dynamical systems. This is an important emergent phenomenon that is operative under a variety of scenarios. We summarize results of recent studies that have significantly added to our understanding of the mechanisms that underlie the process, and also discuss the phase–flip transition, a characteristic and unusual effect that occurs in the transient dynamics as the oscillations die out.},
keywords = {Amplitude quenching, Bifurcation, Control Network, Fixed-point solution, Interaction, Synchronization},
pubstate = {published},
tppubtype = {article}
}

@article{Saxena2012,
title = {Amplitude death: The emergence of stationarity in coupled nonlinear systems},
author = {Garima Saxena and Awadhesh Prasad and Ram Ramaswamy},
url = {https://ramramaswamy.org/papers/RC43.pdf},
doi = {10.1016/j.physrep.2012.09.003},
issn = {03701573},
year = {2012},
date = {2012-01-01},
journal = {Physics Reports},
volume = {521},
number = {5},
pages = {205–228},
abstract = {When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and the manner in which the coupling is organized, a host of novel phenomena can arise. In this context, an important emergent phenomenon is the complete suppression of oscillations, formally termed amplitude death (AD). Oscillations of the entire system cease as a consequence of the interaction, leading to stationary behavior. The fixed points which the coupling stabilizes can be the otherwise unstable fixed points of the uncoupled system or can correspond to novel stationary points. Such behavior is of relevance in areas ranging from laser physics to the dynamics of biological systems. In this review we discuss the characteristics of the different coupling strategies and scenarios that lead to AD in a variety of different situations, and draw attention to several open issues and challenging problems for further study. textcopyright 2012 Elsevier B.V.},
keywords = {Amplitude quenching, Bifurcation, Control, Fixed-point solution, Interaction, Network, Synchronization},
pubstate = {published},
tppubtype = {article}
}