Amplitude death in networks of delay-coupled delay oscillators

Johannes Höfener, Gautam Sethia, Thilo Gross

Research output: Contribution to journalArticle (Academic Journal)peer-review

7 Citations (Scopus)
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Abstract

Amplitude death is a dynamical phenomenon in which a network of oscillators settles to a stable state as a result of coupling. Here, we study amplitude death in a generalized model of delay-coupled delay oscillators. We derive analytical results for degree homogeneous networks that show that amplitude death is governed by certain eigenvalues of the network's adjacency matrix. In particular these results demonstrate that in delay-coupled delay oscillators amplitude death can occur for arbitrarily large coupling strength k. In this limit we find a region of amplitude death, which occurs already at small coupling delays that scale with 1/k. We show numerically that these results remain valid in random networks with heterogeneous degree distribution.
Original languageEnglish
Article number20120462
Number of pages12
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume371
Issue number1999
Early online date19 Aug 2013
DOIs
Publication statusPublished - 28 Sep 2013

Keywords

  • complex networks
  • amplitude death
  • delay oscillator

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