Amplitude death in oscillators coupled by asymmetric connection delays with tree graph topology

Yuki Okigawa, Yoshiki Sugitani () and Keiji Konishi
Additional contact information
Yuki Okigawa: Ibaraki University 4-12-1 Nakanarusawa
Yoshiki Sugitani: Ibaraki University 4-12-1 Nakanarusawa
Keiji Konishi: Osaka Prefecture University 1-1 Gakuen-cho

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 7, 1-7

Abstract: Abstract The present study investigates amplitude death in an oscillator network with asymmetric connection delays and a tree graph topology. A frequency domain analysis reveals that the local steady-state stability is dominated by the sum of the connection delays between connected oscillators. Based on this observation, we show that the local steady-state stability can be reduced to that with symmetric connection delays, as long as the sum of the connection delays between connected oscillators satisfies a certain condition. Numerical simulations verify the analytical results. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2020-10018-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:93:y:2020:i:7:d:10.1140_epjb_e2020-10018-5

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2020-10018-5

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().