Open AccessSynchronisation of Lohe model on smooth curved surfaces
Author(s) -
Zhang Jinxing,
Wang Yingyu,
Zhu Jiandong
Publication year - 2019
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2019.1076
Subject(s) - interconnection , graph , topology (electrical circuits) , mathematics , space (punctuation) , computer science , discrete mathematics , combinatorics , telecommunications , operating system
In this study, the Lohe model limited on smooth curved surfaces is investigated. A necessary and sufficient condition of equilibria is obtained. Also, it is proved that the synchronisation can be achieved if the initial states lie in a half part of the state space and the interconnection graph is strongly connected. Finally, a numerical example is given to validate the obtained theoretical results.