English

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

Chaotic Dynamics 2014-03-05 v1

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.

Keywords

Cite

@article{arxiv.1305.7301,
  title  = {Amplitude Death: The cessation of oscillations in coupled nonlinear dynamical systems},
  author = {Garima Saxena and Nirmal Punetha and Awadhesh Prasad and Ram Ramaswamy},
  journal= {arXiv preprint arXiv:1305.7301},
  year   = {2014}
}

Comments

Review Article (following Physics Reports 521, 205 (2012)) in SenFest, AIP Proceedings