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Partial synchronization in diffusively time-delay coupled oscillator networks
Author(s) -
Erik Steur,
Toshiki Oguchi,
Cees van Leeuwen,
Henk Nijmeijer
Publication year - 2012
Publication title -
chaos an interdisciplinary journal of nonlinear science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.971
H-Index - 113
eISSN - 1089-7682
pISSN - 1054-1500
DOI - 10.1063/1.4771665
Subject(s) - synchronization (alternating current) , property (philosophy) , control theory (sociology) , topology (electrical circuits) , stability (learning theory) , computer science , synchronization networks , mathematics , combinatorics , control (management) , philosophy , epistemology , artificial intelligence , machine learning
We study networks of diffusively time-delay coupled oscillatory units and we show that networks with certain symmetries can exhibit a form of incomplete synchronization called partial synchronization. We present conditions for the existence and stability of partial synchronization modes in networks of oscillatory units that satisfy a semipassivity property and have convergent internal dynamics.

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