Volume 115, Number 6, September 2016
|Number of page(s)||7|
|Published online||03 November 2016|
Birth and death of chimera: Interplay of delay and multiplexing
1 Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore - Khandwa Road, Simrol, Indore-453552, India
2 Institut für Theoretische Physik, Technische Universität Berlin - Hardenbergstraße 36, 10623 Berlin, Germany
3 Centre for Biosciences and Biomedical Engineering, Indian Institute of Technology Indore - Khandwa Road, Simrol, Indore-453552, India
Received: 15 June 2016
Accepted: 5 October 2016
The chimera state with co-existing coherent and incoherent dynamics has recently attracted a lot of attention due to its wide applicability. We investigate non-locally coupled identical chaotic maps with delayed interactions in the multiplex network framework and find that an interplay of delay and multiplexing brings about an enhanced or suppressed appearance of the chimera state depending on the distribution as well as the parity of delay values in the layers. Additionally, we report a layer chimera state with the existence of one layer exhibiting coherent and another layer incoherent dynamical evolution. The rich variety of dynamical behavior demonstrated here can be used to gain further insight into the real-world networks which inherently possess such multi-layer architecture with delayed interactions.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 89.75.-k – Complex systems / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.