The Logistic Map And The Route To Chaos
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The Logistic Map and the Route to Chaos
Author: Marcel Ausloos
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-02-11
Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.
Progress in Optics
A collection of comprehensive reviews in the field of optics. The first article presents a review of recent investifations concerning multiphoton ionization of atoms in intense radiation fields and includes discussions on above threshold ionization, generation of higher-order harmonics of an intense field interacting with a gaseous medium and the role of chaotic dynamics in the interaction of atoms with monochromatic radiation. A tutorial section on chaotic behaviour is also included. The second article presents a review of modern developments regarding properties of light diffracted by gratings. Both a phemonenological treatment and a macroscopic analysis are presented. The following article reviews developments relating to optical amplifiers, especially those which use semiconductors and optical fibres. The article covers the operating principles, fabrication and performance characteristics. The next article reviews recent research on a promising new class of neural networks, the so-called adaptive multilayer optical networks. Although still in the early states of developments, these devices offer the possibility of implementing optical interconnections in three dimensions and they can be functionally equivalent to several thousand chips. The fifth article deals with idealized but rather useful models of some atomic systems, namely two-level and four-level atoms. The analogy between a quantum two-level atom and a classical model consisting of two coupled optical modes is discussed. Extension of these considerations to optical band structure and to four-level systems is also treated. The concluding article deals thoroughly with free electron lasers in a physical way, while minimum attention is paid to organic generalities and mathematical rigour.
Computation, Cryptography, and Network Security
Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted. This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current “state-of-the-art,” and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.