AUTHOR=Dmitrichev Aleksei , Shchapin Dmitry , Nekorkin Vladimir 

TITLE=Cloning of Chimera States in a Large Short-term Coupled Multiplex Network of Relaxation Oscillators

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=5

YEAR=2019

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2019.00009

DOI=10.3389/fams.2019.00009

ISSN=2297-4687

ABSTRACT=<p>A new phenomenon of the chimera states cloning in a large two-layer multiplex network with short-term couplings has been discovered and studied. For certain values of strength and time of multiplex interaction, in the initially disordered layer, a state of chimera is formed with the same characteristics (the same average frequency and amplitude distributions in coherent and incoherent parts, as well as an identical phase distribution in coherent part), as in the chimera which was set in the other layer. The mechanism of the chimera states cloning is examined. It is shown that the cloning is not related with synchronization, but arises from the competition of oscillations in pairs of oscillators from different layers.</p>