Chimera states occur widely in networks of identical oscillators as has been shown in the recent extensive theoretical and experimental research. In such a state, different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling. Here, we consider a star network, in which identical peripheral end nodes are connected to the central hub node. We find that if a single node exhibits transient chaotic behavior in the whole network, the pattern of transient chimeralike state, which persists for a significant amount of time, is created. As a proof of the concept, we examine the system of double pendula (peripheral end nodes) located on the periodically oscillating platform (central hub). We show that such transient chimeralike states can be observed in simple experiments with mechanical oscillators, which are controlled by elementary dynamical equations. Our finding suggests that transient chimeralike states are observable in networks relevant to various real-world systems.
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January 2020
Research Article|
January 23 2020
Transient chimera-like states for forced oscillators
Dawid Dudkowski
;
Dawid Dudkowski
a)
Division of Dynamics, Lodz University of Technology
, Stefanowskiego 1/15, 90-924 Lodz, Poland
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Jerzy Wojewoda;
Jerzy Wojewoda
Division of Dynamics, Lodz University of Technology
, Stefanowskiego 1/15, 90-924 Lodz, Poland
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Krzysztof Czołczyński
;
Krzysztof Czołczyński
Division of Dynamics, Lodz University of Technology
, Stefanowskiego 1/15, 90-924 Lodz, Poland
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Tomasz Kapitaniak
Tomasz Kapitaniak
Division of Dynamics, Lodz University of Technology
, Stefanowskiego 1/15, 90-924 Lodz, Poland
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a)
Author to whom correspondence should be addressed: dawid.dudkowski@p.lodz.pl
Chaos 30, 011102 (2020)
Article history
Received:
December 09 2019
Accepted:
January 10 2020
Citation
Dawid Dudkowski, Jerzy Wojewoda, Krzysztof Czołczyński, Tomasz Kapitaniak; Transient chimera-like states for forced oscillators. Chaos 1 January 2020; 30 (1): 011102. https://doi.org/10.1063/1.5141929
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