https://doi.org/10.1140/epjb/e2020-10018-5
Regular Article
Amplitude death in oscillators coupled by asymmetric connection delays with tree graph topology
1
Department of Electrical and Electronic Engineering, Ibaraki University 4-12-1 Nakanarusawa,
Hitachi,
Ibarak 316-8511, Japan
2
Department of Electrical and Information Systems, Osaka Prefecture University 1-1 Gakuen-cho,
Naka-ku,
Sakai,
Osaka 599-8531, Japan
a e-mail: yoshiki.sugitani.0301@vc.ibaraki.ac.jp
Received:
8
January
2020
Received in final form:
23
April
2020
Published online: 6 July 2020
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020