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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.

Digital communications. --- Chaotic behavior in systems. --- Nonlinear systems. --- Systems, Nonlinear --- System theory --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- Communications, Digital --- Digital transmission --- Pulse communication --- Digital electronics --- Pulse techniques (Electronics) --- Telecommunication --- Digital media --- Signal processing --- Digital techniques --- Statistical physics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Physics --- Mathematical statistics --- Statistical methods --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics

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This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts. Presents the most up-to-date developments in the studies of complexity Combines basic and applied aspects Links background nonlinear theory of oscillations and waves with modern approaches Allows readers to recognize general dynamical principles across the applications fields.

Engineering. --- Pattern recognition. --- System theory. --- Complexity, Computational. --- Complexity. --- Pattern Recognition. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Complex Systems. --- Chaotic behavior in systems. --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Optical pattern recognition. --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Optical data processing --- Pattern perception --- Perceptrons --- Visual discrimination --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Statistical physics. --- Systems, Theory of --- Systems science --- Science --- Physics --- Mathematical statistics --- Design perception --- Pattern recognition --- Form perception --- Perception --- Figure-ground perception --- Complexity, Computational --- Electronic data processing --- Machine theory --- Philosophy --- Statistical methods

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This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts. Presents the most up-to-date developments in the studies of complexity Combines basic and applied aspects Links background nonlinear theory of oscillations and waves with modern approaches Allows readers to recognize general dynamical principles across the applications fields.

Discrete mathematics --- Mathematical statistics --- Classical mechanics. Field theory --- Statistical physics --- Applied physical engineering --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- patroonherkenning --- chaos --- factoranalyse --- toegepaste wiskunde --- grafentheorie --- theoretische fysica --- informatica --- KI (kunstmatige intelligentie) --- ingenieurswetenschappen --- dynamica --- optica