Iteration Theory Proceedings Of The European Conference
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Iteration Theory - Proceedings Of The European Conference by W Forg-rob,Norbert Netzer,Christian Mira,Gyoergy Targonski,Detlef Gronau Pdf
Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms 'orbit' and 'chaos' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.
Chaotic Dynamics in Two-Dimensional Noninvertible Maps by Christian Mira,Laura Gardini,Alexandra Barugola,Jean-Claude Cathala Pdf
This book is essentially devoted to complex properties (Phase plane structure and bifurcations) of two-dimensional noninvertible maps, i.e. maps having either a non-unique inverse, or no real inverse, according to the plane point. They constitute models of sets of discrete dynamical systems encountered in Engineering (Control, Signal Processing, Electronics), Physics, Economics, Life Sciences. Compared to the studies made in the one-dimensional case, the two-dimensional situation remained a long time in an underdeveloped state. It is only since these last years that the interest for this research has increased. Therefore the book purpose is to give a global presentation of a matter, available till now only in a partial form. Fundamental notions and tools (such as “critical manifolds”), as the most part of results, are accompanied by many examples and figures. Contents:Generalities on Dynamics Systems and MapsOne-Dimensional Noninvertible MapsTwo-Dimensional Noninvertible Maps. Properties of Critical CurvesAbsorbing Areas and Chaotic Areas of Two-Dimensional Noninvertible MapsBasins and Their BifurcationsOn Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps Readership: Nonlinear scientists, engineers and physicists. keywords:Noninvertible Maps;Multiple Preimages;Critical Curves;Plane Foliation;Absorbing Areas;Chaotic Areas;Invariant Sets;Disconnected Basins;Multiplyconnected Basins;Bifurcations involving Critical Sets
Essays on Frege's Basic Laws of Arithmetic by Philip A. Ebert,Marcus Rossberg Pdf
This volume is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic which appeared in two volumes in 1893 and 1903. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Lawsof Arithmetic, and demonstrate the technical and philosophical richness of the work. Their original contributions make vivid the importance of this magnum opus not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.
Proceedings of the First International Conference on Difference Equations by John R. Graef,Saber Elaydi,G. Ladas Pdf
The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. Initially published in 2005.
Chaos in Automatic Control by Wilfrid Perruquetti,Jean-Pierre Barbot Pdf
Chaotic behavior arises in a variety of control settings. In some cases, it is beneficial to remove this behavior; in others, introducing or taking advantage of the existing chaotic components can be useful for example in cryptography. Chaos in Automatic Control surveys the latest methods for inserting, taking advantage of, or removing chaos in a variety of applications. This book supplies the theoretical and pedagogical basis of chaos in control systems along with new concepts and recent developments in the field. Presented in three parts, the book examines open-loop analysis, closed-loop control, and applications of chaos in control systems. The first section builds a background in the mathematics of ordinary differential and difference equations on which the remainder of the book is based. It includes an introductory chapter by Christian Mira, a pioneer in chaos research. The next section explores solutions to problems arising in observation and control of closed-loop chaotic control systems. These include model-independent control methods, strategies such as H-infinity and sliding modes, polytopic observers, normal forms using homogeneous transformations, and observability normal forms. The final section explores applications in wireless transmission, optics, power electronics, and cryptography. Chaos in Automatic Control distills the latest thinking in chaos while relating it to the most recent developments and applications in control. It serves as a platform for developing more robust, autonomous, intelligent, and adaptive systems.
Thirty Years After Sharkovskii's Theorem: New Perspectives - Proceedings Of The Conference by Luis Alseda,Jaume Llibre,Michal Misiurewicz,Francisco Balibrea Pdf
These proceedings contain a collection of papers on Combinatorial Dynamics, from the lectures that took place during the international symposium, Thirty Years after Sharkovskiĭ's Theorem: New Perspectives, which was held at La Manga del Mar Menor, Murcia, Spain, from June 13 to June 18, 1994.Since Professor A N Sharkovskiĭ's landmark paper on the coexistence of periods for interval maps, several lines of research have been developed, opening applications of models to help understand a number of phenomena from a wide variety of fields, such as biology, economics, physics, etc. The meeting served to summarize the progress made since Professor Sharkovskiĭ's discovery, and to explore new directions.
History and Philosophy of Computing by Fabio Gadducci,Mirko Tavosanis Pdf
This volume constitutes the refereed post-conference proceedings of the Third International Conference on the History and Philosophy of Computing, held in Pisa, Italy in October 2015. The 18 full papers included in this volume were carefully reviewed and selected from the 30 papers presented at the conference. They cover topics ranging from the world history of computing to the role of computing in the humanities and the arts.
