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Multi-headed chimera states in coupled pendula

Abstract

We discuss the occurrence of the chimera states in the network of coupled, excited by the clock’s mechanisms pendula. We find the patterns of multi-headed chimera states in which pendula clustered in different heads behave differently (oscillate with different frequencies) and create different types of synchronous states (complete or phase synchronization). The mathematical model of the network shows that the observed chimera states are controlled by elementary dynamical equations derived from the Newton’s laws that are ubiquitous in many physical and engineering systems.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
The European Physical Journal-Special Topics no. 224, edition 8, pages 1605 - 1617,
ISSN: 1951-6355
Language:
English
Publication year:
2015
Bibliographic description:
Jaros P., Borkowski Ł., Witkowski B., Czołczyński K., Kapitaniak T.: Multi-headed chimera states in coupled pendula// The European Physical Journal-Special Topics. -Vol. 224, iss. 8 (2015), s.1605-1617
DOI:
Digital Object Identifier (open in new tab) 10.1140/epjst/e2015-02483-x
Verified by:
Gdańsk University of Technology

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