Spectral Dimension Reduction of Complex Dynamical Networks
نویسندگان
چکیده
منابع مشابه
Dynamical and spectral properties of complex networks
Dynamical properties of complex networks are related to the spectral properties of the Laplacian matrix that describes the pattern of connectivity of the network. In particular we compute the synchronization time for different types of networks and different dynamics. We show that the main dependence of the synchronization time is on the smallest nonzero eigenvalue of the Laplacian matrix, in c...
متن کاملSpectral Analysis and Dynamical Behavior of Complex Networks
In this paper, we employ spectral graph theory as a tool for analyzing the Internet topology. We show its importance in understanding dynamical behavior of complex networks. We also provide an overview of various approaches dealing with synchronization in complex networks.
متن کاملSynchronization analysis of complex dynamical networks with hybrid coupling with application to Chua’s circuit
Complex dynamic networks have been considered by researchers for their applications in modeling and analyzing many engineering issues. These networks are composed of interconnected nodes and exhibit complex behaviors that are resulted from interactions between these nodes. Synchronization, which is the concept of coordinated behavior between nodes, is the most interested behavior in these netwo...
متن کاملCorrelation dimension of complex networks
We propose a new measure to characterize the dimension of complex networks based on the ergodic theory of dynamical systems. This measure is derived from the correlation sum of a trajectory generated by a random walker navigating the network, and extends the classical Grassberger-Procaccia algorithm to the context of complex networks. The method is validated with reliable results for both synth...
متن کاملLocal Dimension of Complex Networks
Dimensionality is one of the most important properties of complex physical systems. However, only recently this concept has been considered in the context of complex networks. In this paper we further develop the previously introduced definitions of dimension in complex networks by presenting a new method to characterize the dimensionality of individual nodes. The methodology consists in obtain...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review X
سال: 2019
ISSN: 2160-3308
DOI: 10.1103/physrevx.9.011042