This is achieved by exploring the fact that the quantities used to express the bounds have direct physical interpretation.
This leads to conditions for the enhancement and suppression of synchronization in terms of physical parameters of the network.
IJMNDI seeks to foster international exchange of ideas and experiences among researchers, educators and professionals in the field, on a global scale.
It also serves as a venue for articles evaluating the state of the art of computer applications in this area.
This method is thus complementary to other recently proposed approaches for identifying – or constructing – networks with desired dynamical properties. In section 2, I define the class of networks to be considered and announce the main result on the eigenvalue bounds, which is proved in the appendix.
In section 3, I discuss an eigenvalue approach to the study of network synchronization.Synchronization is a widespread phenomenon in distributed systems, with examples ranging from neuronal to technological networks .Previous studies have shown that network synchronization is strongly influenced by the randomness [4, 5], degree (connectivity) distribution , correlations [7, 8], and distributions of directions and weights [9, 10] in the underlying network of couplings.For concreteness, I focus on complete synchronization of identical dynamical units , which has served as a prime paradigm for the study of collective dynamics in complex networks.In this case, the synchronizability of the network is determined by the largest and smallest nonzero eigenvalues of the coupling (Laplacian) matrix.Characteristically, high performance, innovative techniques are required to address computationally-intensive radio engineering planning problems while providing optimised solutions and knowledge which will enhance the deployment and operation of expensive wireless resources.This requires contributions from several disciplines. IJMNDI's objective is to found, develop and promote a cutting edge arena for the emergent field of intelligent computerised wireless network design and management.IJMNDI addresses state-of-the-art computerisation for the deployment and operation of current and future wireless networks.Intelligent and automatic computer software has become the critical factor for obtaining high performance network solutions that meet the objectives of both the network subscriber and operator.The determination of simple general principles governing the behaviour of such systems is an outstanding problem which has attracted a great deal of attention in connection with recent network and graph-theoretical constructs [1, 2].Here I focus on synchronization, which is the process that has attracted most attention, and use this process to study the interplay between network structure and dynamics.