WIAS Preprint No. 1101, (2006)

Oscillatory instability in systems with delay


Authors

  • Wolfrum, Matthias
    ORCID: 0000-0002-4278-2675
  • Yanchuk, Serhiy

2010 Mathematics Subject Classification

  • 34K05 34K18 34K20 34K26

2008 Physics and Astronomy Classification Scheme

  • 02.20.Ks

Keywords

  • large delay, instability, Eckhaus, Ginzburg-Landau amplitude equation

DOI

10.20347/WIAS.PREPRINT.1101

Abstract

Any biological or physical system, which incorporates delayed feedback or delayed coupling, can be modeled by a dynamical system with delayed argument. We describe a standard oscillatory destabilization mechanism, which occurs in such systems.

Appeared in

  • Phys. Rev. Lett., 96 (2006) pp. 220201/1--220201/4.

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