On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks

Citations Over TimeTop 1% of 2009 papers

Abstract

This paper presents some low-dimensional pinning criteria for global synchronization of both directed and undirected complex networks, and proposes specifically pinning schemes to select pinned nodes by investigating the relationship among pinning synchronization, network topology, and the coupling strength. The paper answers the challenging questions in pinning control of complex networks: 1) what sufficient conditions can guarantee global asymptotic stability of the pinning process; 2) what nodes should be chosen as pinned candidates; and 3) how many nodes are needed to be pinned for a fixed coupling strength? Furthermore, an adaptive pinning control scheme is developed to achieve synchronization of general complex networks. Numerical examples are given to verify our theoretical analysis.

Related Papers

• → Blinking coupling enhances network synchronization(2022)61 cited
• → Various synchronous states due to coupling strength inhomogeneity and coupling functions in systems of coupled identical oscillators(2019)8 cited
• → Enhancement and sustainment of internal stochastic resonance in unidirectional coupled neural system(2006)33 cited
• → Synchronization in dynamical oscillatory networks with non-uniform coupling distributions(2017)1 cited
• → Self-consistent description of relaxation processes in systems with ultra- and deep-strong coupling(2023)