• Letter

Origin of jumping oscillons in an excitable reaction-diffusion system

Edgar Knobloch, Hannes Uecker, and Arik Yochelis
Phys. Rev. E 104, L062201 – Published 8 December 2021
PDFHTMLExport Citation

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.

  • Figure
  • Figure
  • Figure
  • Received 19 July 2021
  • Accepted 23 November 2021

DOI:https://doi.org/10.1103/PhysRevE.104.L062201

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Edgar Knobloch1,*, Hannes Uecker2,†, and Arik Yochelis3,4,‡

  • 1Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA
  • 2Institut für Mathematik, Universität Oldenburg, D26111 Oldenburg, Germany
  • 3Department of Solar Energy and Environmental Physics, Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus, Midreshet Ben-Gurion 8499000, Israel
  • 4Department of Physics, Ben-Gurion University of the Negev, Be'er Sheva 8410501, Israel

  • *knobloch@berkeley.edu
  • hannes.uecker@uni-oldenburg.de
  • yochelis@bgu.ac.il

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 104, Iss. 6 — December 2021

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×