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| 1. | Saxena, Garima; Punetha, Nirmal; Prasad, Awadhesh; Ramaswamy, Ram Amplitude death: The cessation of oscillations in coupled nonlinear dynamical systems Journal Article AIP Conference Proceedings, 1582 , pp. 158–171, 2014, ISSN: 15517616. Abstract | Links | BibTeX | Tags: Amplitude quenching, Bifurcation, Control Network, Fixed-point solution, Interaction, Synchronization @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} } 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. |