Abstract
Kuramoto oscillators are widely used to explain collective phenomena in networks of coupled oscillatory units. We show that simple networks of two populations with a generic coupling scheme, where both coupling strengths and phase lags between and within populations are distinct, can exhibit chaotic dynamics as conjectured by Ott and Antonsen [Chaos 18, 037113 (2008)]. These chaotic mean-field dynamics arise universally across network size, from the continuum limit of infinitely many oscillators down to very small networks with just two oscillators per population. Hence, complicated dynamics are expected even in the simplest description of oscillator networks.
| Original language | English |
|---|---|
| Article number | 071102 |
| Journal | Chaos |
| Volume | 28 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2018 Jul 1 |
| Externally published | Yes |
Bibliographical note
Funding Information:The authors would like to thank J. Engelbrecht, R. Mirollo, A. Politi, and M. Wolfrum for helpful discussions and F. Peter for careful reading of the manuscript. C.B. would like to acknowledge the warm hospitality at Technical University of Denmark (DTU). Research conducted by E.A.M. is partially supported by the Dynamical Systems Interdisciplinary Network, University of Copenhagen. C.B. has received partial funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007–2013) under REA Grant Agreement No. 626111.
Publisher Copyright:
© 2018 Author(s).
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.