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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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The Optimal Pathin an Erdős-Rényi Random Graph
We study the optimal distance $\ell_{\mbox{\scriptsize opt}}$ in...
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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...
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Clustering in Complex Networks
Real, mostly socially rooted networks have the tendency to form the simplest morphological structures observable: triangles, or in other words...
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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...
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6. Chaos Based Secure Communication Systems
In this chapter, the results obtained in the previous chapter will be used to design a chaos based secure communication system. Specifically, these...
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5. Impulsive Synchronization of Chaotic Systems
In this chapter, less conservative conditions on the stability of impulsive systems are first derived. These results are then used to study the...
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8. Relative Differentiated Quality of Service of the Internet
In this chapter, the feedback cyclic control policy is first extended to the case that the arrival rates are not known in advance. The policy is then...
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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...
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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...
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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...
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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...