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arXiv · 1305.7301

Amplitude Death: The cessation of oscillations in coupled nonlinear dynamical systems

Garima Saxena·Nirmal Punetha·Awadhesh Prasad·Ram Ramaswamy
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Abstract

Here we extend a recent review (Physics Reports {\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.

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Garima Saxena, Nirmal Punetha, Awadhesh Prasad, Ram Ramaswamy. 2013-05-31. Amplitude Death: The cessation of oscillations in coupled nonlinear dynamical systems. https://doi.org/10.1063/1.4865354

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