Volume 127, Number 3, August 2019
|Number of page(s)||7|
|Published online||12 September 2019|
Taming chimeras in networks through multiplexing delays
1 Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore - Khandwa Road, Simrol, Indore 453552, India
2 Discipline of Biosciences and Biomedical Engineering, Indian Institute of Technology Indore - Khandwa Road, Simrol, Indore 453552, India
3 Institut für Theoretische Physik, Technische Universität Berlin - Hardenbergstraße 36, 10623 Berlin, Germany
Received: 25 May 2019
Accepted: 23 July 2019
Chimera referring to a coexistence of coherent and incoherent states, is traditionally very difficult to control due to its peculiar nature. Here, we provide a recipe to construct chimera states in the multiplex networks with the aid of multiplexing delays. The chimera state in multiplex networks is produced by introducing heterogeneous delays in a fraction of inter-layer links, referred to as multiplexing delay, in a sequence. Additionally, the emergence of the incoherence in the chimera state can be regulated by making the appropriate choice of both inter- and intra-layer coupling strengths, whereas the extent and the position of the incoherence regime can be regulated by appropriate placing and strength of the multiplexing delays. The proposed technique to construct such engineered chimera equips us with multiplex network's structural parameters as tools in gaining both qualitative and quantitative control over the incoherent section of the chimera states and, in turn, the chimera. Our investigation can be of worth in controlling dynamics of multi-level delayed systems and attain the desired chimeric patterns.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.-k – Complex systems
© EPLA, 2019
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.