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This book introduces readers to a new and exciting cross-disciplinary field of digital communications with chaos. This field was born around 15 years ago, when it was first demonstrated that nonlinear systems which produce complex non-periodic noise-like chaotic signals, can be synchronized and modulated to carry useful information. Thus, chaotic signals can be used instead of pseudo-random digital sequences for spread-spectrum and private communication applications. This deceptively simple idea spun hundreds of research papers, and many novel communication schemes based on chaotic signals have been proposed. However, only very recently researchers have begun to make a transition from academic studies toward practical implementation issues, and many "promising" schemes had to be discarded or re-formulated. This book describes the state of the art (both theoretical and experimental) of this novel field. The book is written by leading experts in the fields of Nonlinear Dynamics and Electrical Engineering who participated in US Army sponsored Multi-University Research Initiative on Digital Communication using Nonlinear Dynamics. It will be useful for active researchers and advanced graduate students interested in this exciting new field.

Computer science --- chaos --- informatica

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Over the past decade, numerous books have attempted to explain ions in aqueous solutions in relation to biophysical phenomena. Ions in Water and Biophysical Implications, from Chaos to Cosmos offers a physicochemical point of view of the spread of this matter and suggests innovative solutions that will challenge the biophysics research establishment. Starting with a throughout discussion of the properties of liquid water, in particular as a structured liquid with an extensive hydrogen bonded structure, the book examines water as a solvent for gases, non-electrolytes, and electrolytes and reviews the properties, sizes and thermodynamics of isolated and aqueous ions, as well as their interactions, including those of polyelectrolytes. The effects of ions on water structure, including those on solvent dynamics and certain thermodynamic quantities, are presented. This volume investigates water surfaces with its vapour, with another liquid, and with a solid, as well as the effects of solutes, including simple ions and the water-miscible non-electrolytes. Surfaces are relevant to biomolecular and colloidal systems and the book discusses briefly surfactants, micelles and vesicles. Finally, the book concludes with a review of the various biophysical implications involving chaotropic and kosmotropic ions in homogeneous solutions and the Hofmeister series for ions concerning biomolecular and colloidal systems and some aspects of protein hydration and K+/Na+ selectivity in ion channels. Ions in Water and Biophysical Implications, from Chaos to Cosmos will appeal to physical chemists, biophysicists, biochemists, as well as to all students and researchers involved in the study of aqueous solutions.

Physicochemistry --- General biophysics --- biofysica --- chaos --- fysicochemie

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Over the last four decades there has been extensive development in the theory of dynamical systems. This book starts from the phenomenological point of view reviewing examples. Hence the authors discuss oscillators, like the pendulum in many variation including damping and periodic forcing , the Van der Pol System, the Henon and Logistic families, the Newton algorithm seen as a dynamical system and the Lorenz and Rossler system are also discussed. The phenomena concern equilibrium, periodic, multi- or quasi-periodic and chaotic dynamic dynamics as these occur in all kinds of modeling and are met both in computer simulations and in experiments. The application areas vary from celestial mechanics and economical evolutions to population dynamics and climate variability. The book is aimed at a broad audience of students and researchers. The first four chapters have been used for an undergraduate course in Dynamical Systems and material from the last two chapters and from the appendices has been used for master and PhD courses by the authors. All chapters conclude with an exercise section. One of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory. Henk Broer and Floris Takens, professors at the Institute for Mathematics and Computer Science of the University of Groningen, are leaders in the field of dynamical systems. They have published a wealth of scientific papers and books in this area and both authors are members of the Royal Netherlands Academy of Arts and Sciences (KNAW).

Ergodic theory. Information theory --- Mathematics --- chaos --- toegepaste wiskunde --- informatietheorie

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This updated and revised fourth edition covers all topics in mechanics from elementary Newtonian mechanics, canonical and rigid body mechanics to relativistic mechanics and nonlinear dynamics. In particular, symmetries and invariance principles, geometrical structures and continuum mechanics play an important role. This book will enable the reader to develop general principles from which equations of motions may be derived, to understand the importance of symmetries as a basis for quantum mechanics and to get practice in using theoretical tools and concepts that are essential for all branches of physics. The book contains numerous problems with complete solutions, and some practical examples.This will be appreciated in particular by students using the text to accompnay lectures on mechanics. The book ends with some historical remarks on important pioneers in mechanics.

Classical mechanics. Field theory --- Computer. Automation --- computergestuurd meten --- chaos --- mechanica

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This is the second of two volumes offering the very first comprehensive treatise of self-organization  and non-linear dynamics in electrochemical systems. The first volume covers general principles of self-organization as well as temporal instabilities. The  content of both volumes is  organized  so  that each description  of a particular electrochemical  system  is  preceded  by  an  introduction  to basic concepts of nonlinear dynamics, in order to help the reader unfamiliar with  this  discipline to understand at least fundamental concepts and  the methods of stability analysis. The presentation of the systems is not  limited  to  laboratory  models but stretches out to real-life objects  and  processes,  including  systems  of biological importance,  such as neurons  in  living  matter. Marek Orlik  presents  a  comprehensive and consistent survey of the field.

Statistical physics --- Electrochemistry --- Neuropathology --- chaos --- neurologie --- theoretische fysica --- elektrochemie