Title
Emergence Of Chimera In Multiplex Network
Abstract
Chimera is a relatively new emerging phenomenon where coexistence of synchronous and asynchronous states is observed in symmetrically coupled dynamical units. We report the observation of the chimera state in multiplex networks where individual layer is represented by 1-d lattice with nonlocal interactions. While, multiplexing does not change the type of the chimera state and retains the multi-chimera state displayed by the isolated networks, it changes the regions of the incoherence. We investigate the emergence of coherent-incoherent bifurcation upon varying the control parameters, namely, the coupling strength and the network size. Additionally, we investigate the effect of initial condition on the dynamics of the chimera state. Using a measure based on the differences between the neighboring nodes which distinguishes smooth and non-smooth spatial profiles, we find the critical coupling strength for the transition to the chimera state. Observing chimera in a multiplex network with one-to-one inter layer coupling is important to gain insight to many real world complex systems which inherently posses multilayer architecture.
Year
DOI
Venue
2016
10.1142/S0218127416501200
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Chimera, multiplex network, coupled map lattice
Topology,Asynchronous communication,Lattice (order),Simulation,Mathematical analysis,Multiplex,Chimera (genetics),Initial value problem,Coupled map lattice,Multiplexing,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
26
7
0218-1274
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Saptarshi Ghosh159453.82
Sarika Jalan275.18