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Cited by 375

The DOI matches its Crossref record; 61 of the 61 references it cites were found in a registry or an index.

Amplitude death: The emergence of stationarity in coupled nonlinear systems

Open access
Saxena, Garima, Prasad, Awadhesh, Ramaswamy, Ram·2012·Physics Reports

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.

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Crossref · 10.1016/j.physrep.2012.09.003

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Metadata

Authors
Saxena, G., Prasad, A., & Ramaswamy, R.
Venue
Physics Reports
Publisher
Elsevier BV
Published
2012-12
Volume
521
Issue
5
Pages
205-228
ISSN
0370-1573 (ISSN-L)
OpenAlex
W2021958051
Cited by
375
References
61
FWCI
30.81
Type
journal article
Language
en
Open access
green

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