Origin of jumping oscillons in an excitable reaction-diffusion system

Edgar Knobloch, Hannes Uecker, Arik Yochelis

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Oscillons, i.e., immobile spatially localized but temporally oscillating structures, are the subject of intense study since their discovery in Faraday wave experiments. However, oscillons can also disappear and reappear at a shifted spatial location, becoming jumping oscillons (JOs). We explain here the origin of this behavior in a three-variable reaction-diffusion system via numerical continuation and bifurcation theory, and show that JOs are created via a modulational instability of excitable traveling pulses (TPs). We also reveal the presence of bound states of JOs and TPs and patches of such states (including jumping periodic patterns) and determine their stability. This rich multiplicity of spatiotemporal states lends itself to information and storage handling.

Original languageEnglish
Article numberL062201
JournalPhysical Review E
Volume104
Issue number6
DOIs
StatePublished - 1 Dec 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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