Synchronization in multilayer networks of chaotic maps with inertial nonlinear coupling
Ivan A. Korneev1, Ibadulla R. Ramazanov1, Andrei V. Slepnev1, Vladimir V. Semenov1, Tatiana E. Vadivasova1; 1Saratov State University, Saratov, Russia
Abstract
Models of two-layer multiplex networks of one-dimensional mappings with memristive interlayer coupling demonstrating chimera states of different types in non-coupling layers are studied. Networks of mappings with different dynamics are considered: modified Ricker mappings and cubic mappings. The effects of complete and partial synchronization of the space-time dynamics of layers in the case of a homogeneous and heterogeneous network is showns. For all models, the influence of memristive coupling is shown. It consists in the dependence of the synchronization boundary on the initial state of the coupling elements. This effect can persist at very small deviations of memristive coupling elements from ideal memristors. The effect on synchronization of noise sources added to memristive coupling elements is considered.
Speaker
Ivan A. Korneev
Saratov State University
Russia
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