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On applicability of auxiliary system approach in complex network with ring topology

Volodymyr Lynnyk, Branislav Rehak, Sergej Celikovsky
The generalized synchronization of the complex network consisting of nodes being the chaotic systems via the auxiliary system approach is studied here. More specifically, the applicability of the auxiliary system approach to detect the generalized synchronization in the complex network consisting of unidirectional coupled chaotic systems in the cyclic chain is investigated. Such a complex network has the so-called ring topology. It is shown that the auxiliary system approach is useful for this purpose. The presented analysis is supported by the numerical simulations as well.
CYBERNETICS AND PHYSICS, Vol. 8, No. 3. 2019, 143-152. https://doi.org/10.35470/2226-4116-2019-8-3-143-152
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