coupled phase oscillators
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2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Can Xu ◽  
Xiaohuan Tang ◽  
Huaping Lü ◽  
Karin Alfaro-Bittner ◽  
Stefano Boccaletti ◽  
...  

2021 ◽  
Vol 31 (8) ◽  
pp. 081102
Author(s):  
Suresh Kumarasamy ◽  
Dawid Dudkowski ◽  
Awadhesh Prasad ◽  
Tomasz Kapitaniak

Author(s):  
Arkady Pikovsky

We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements,  but otherwise are not interacting. We consider a ring geometry with a long-range coupling, where active oscillators form a fluctuating chimera pattern. We show that  the passive elements are  strongly correlated. This is explained by negative transversal Lyapunov  exponents.


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