Generalized synchronization of two-layer networks based on intermittent control strategy
Complex networks serve as effective tools for modeling real-world phenomena,with synchronization being one of the most ubiquitous dynamical behaviors.Generalized synchronization,due to its universality,has garnered considerable research attention.This paper investigates the generalized synchronization problem in unidirectionally coupled two-layer drive-response networks.The widely adopted auxiliary system method,effective since its inception,has been extended and applied to complex networks in the early years of the 21st century.For networks unable to achieve spontaneous synchronization,intermittent control is emerging as a common and effective mechanism.Intermittent control not only accords with real-world scenarios but also reduces communication overhead,thereby optimizing control resources.Our study delves into inter-layer generalized synchronization within unidirectionally coupled two-layer networks.Leveraging the auxiliary system method,we propose a criterion for generalized synchronization in two-layer networks under intermittent control strategies.First,we propose a generalized synchronization criterion in networks under intermittent control with linear feedback pinning.Furthermore,to conserve control resources,we explore the application of an adaptive pinning controller to the generalized synchronization problem under intermittent control strategies.The feasibility of inter-layer generalized synchronization in two-layer networks under intermittent control is validated through both theoretical analysis and simulations.
two-layer complex networkgeneralized synchronizationintermittent controlpinning controladaptive control
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