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PRACTICAL SYNCHRONIZATION OF GENERALIZED KURAMOTO SYSTEMS WITH AN INTRINSIC DYNAMICSopen access
- Authors
- Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong
- Issue Date
- Dec-2015
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- External force; Intrinsic dynamics; Kuramoto model; Practical synchronization
- Citation
- Networks and Heterogeneous Media, v.10, no.4, pp.787 - 807
- Indexed
- SCIE
SCOPUS
- Journal Title
- Networks and Heterogeneous Media
- Volume
- 10
- Number
- 4
- Start Page
- 787
- End Page
- 807
- ISSN
- 1556-1801
- Abstract
- We study the practical synchronization of the Kuramoto dynamics of units distributed over networks. The unit dynamics on the nodes of the network are governed by the interplay between their own intrinsic dynamics and Kuramoto coupling dynamics. We present two sufficient conditions for practical synchronization under homogeneous and heterogeneous forcing. For practical synchronization estimates, we employ the configuration diameter as a Lyapunov functional, and derive a Gronwall-type differential inequality for this value.
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Related Researcher
- Park, Jin yeong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)