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Classes of the Shortest Pathway Structures in Scale Free Networks
We study a problem of data packet transport between a pair of vertices on scale-free network, and introduce load of a vertex as the accumulated sum... -
The Optimal Pathin an Erdős-Rényi Random Graph
We study the optimal distance $\ell_{\mbox{\scriptsize opt}}$ in... -
Information Dynamics in the Networked World
We review three studies of information flow in social networks that help reveal their underlying social structure, how information spreads among them... -
Clustering in Complex Networks
Real, mostly socially rooted networks have the tendency to form the simplest morphological structures observable: triangles, or in other words... -
Boolean Modelingof Genetic Regulatory Networks
Biological systems form complex networks of interaction on several scales, ranging from the molecular to the ecosystem level. On the subcellular... -
Nonlinear Instabilities in TCP-RED
With the growing size and popularity of the Internet, congestion control has emerged as an important problem. Poor management of congestion can... -
Dynamics of Congestion Control
One reason for the success of TCP and its widespread usage in the Internet is its ability to control network congestion. A TCP source uses implicit... -
Statistical Properties of Chaos in Communication Networks
The behavior of communication networks, like the Internet is complex in many ways. This complexity may have many origins, including the topology of... -
2. Analysis of Switched and Impulsive Systems
The analysis will focus on the case where the switchings are governed by a finite state machine. This is because the common Lyapunov function method... -
Modeling TCP/RED: a Dynamical Approach
Today’s Internet applications, such as World Wide Web, file transfer, Usenet news, and remote login, are delivered via Transmission Control Protocol... -
On Dynamics of Transport Protocols Over Wide-Area Internet Connections
The Transport Control Protocol (TCP) is widely deployed over the Internet for reliably transporting data [27], and it accounts for a significant... -
3. Stability of Linear Switched and Impulsive Systems
In the previous chapter, we have set up the basic framework for the stability analysis of switched and impulsive systems. The framework provides the... -
10. Future Research Directions and Potential Applications
Many interesting applications of switched and impulsive systems have been presented in the previous chapters. We shall conclude this book by... -
Dynamic Complexity in the Internet Traffic
The Internet is one of the most enormous autonomously distributed network systems created by human being. There is no central control in the Internet... -
Macroscopic Dynamics in Large-Scale Data Networks
Modern society grows increasingly reliant on the Internet, a network of global reach that supports many services and clients. However, in such a... -
Chaos-Based Generation of Arti.cial Self-Similar Traffic
The exploitation of the unique features of chaotic dynamics for performance improvement recently became a widely followed path in several field of... -
Dynamical Properties of Externally Driven TCP traffic
One of the most influential achievements of the last sanctuary was the emergence of a decentralized, highly heterogenous, global communication... -
7. Scheduling of Switched Server Systems
In this chapter, we shall present an interesting and practical application of the stability results obtained in Chapter 2. Specifically, the... -
Modelling the Complex Internet Topology
Internet is one of the most impressive creatures of our civilization; it has literally changed the ways we do business, communication, education,... -
Nonlinear Dynamics of TCP and its Implications to Network Performance
TCP flows continuously intertwine in the Internet competing with each other for service capacity and buffer space in bottleneck routers. The window...