Nonlinear science

The book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems - linear, nonlinear, parametric, and nonlinear-parametric.

This important book deals with vibrational mechanics - the new, intensively developing section of nonlinear dynamics and the theory of nonlinear oscillations.

This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs.

The main aim of this book is to raise and clear up the intriguing problems of noise and chaos in the nervous system.

In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state.

Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject.

Revolutionary and original, this treatise presents a new paradigm of EMERGENCE and COMPLEXITY, with applications drawn from numerous disciplines, including artificial life, biology, chemistry, computation, physics, image processing, information science, etc.

Methods of nonlinear time series analysis are discussed from a dynamical systems perspective on the one hand, and from a statistical perspective on the other.

Latest Edition: Applied Symbolic Dynamics and Chaos (2nd Edition)Symbolic dynamics is a coarse-grained description of dynamics.

This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory.

The book combines both rigor and intuition to derive most of the classical results of linear and nonlinear filtering and beyond.

This book is devoted to the theory of chaotic oscillations in mechanical systems.

This book concerns the development of a theory of complex phenomena; using such concepts as fractals; chaos; and fractional derivatives; but; most important; the idea of an allometric control process is developed.

This volume focuses on the modeling of cognition, and brings together contributions from psychologists and researchers in the field of cognitive science.

Authoritative and visionary, this festschrift features 12 highly readable expositions of virtually all currently active aspects of nonlinear science.

Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description.

In the past hundred years investigators have learned the significance of complex behavior in deterministic systems.

Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature.

Physical science and technology (engineering) are fundamentally linked by the possibility of predictions: science tests itself and grows by making and checking predictions; technology relies on predictions and thus furthers the growth of the associated science.

This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.

Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject.

A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the "e;reversibility paradox"e;, with modern tools.

This book discusses achievements in the last 20 years, recent developments and future perspectives in nonlinear science.

This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science.

There has been a heated debate about whether chaos theory can be applied to the dynamics of the human brain.

This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics.

Nonlinear science has a very broad scope and the aim of this volume of lectures is to introduce different aspects of this vast domain to research students whose studies are necessarily concentrated on only one.

This invaluable book studies synchronization of coupled chaotic circuits and systems, as well as its applications.

Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering.

This book describes new applications for spatio-temporal chaotic dynamical systems in elementary particle physics and quantum field theories.

This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics.

This book provides a comprehensive overview of the topics related to characterization, control and synchronization of complex spatiotemporal phenomena, from both a theoretical and an experimental point of view.

The 5th Experimental Chaos Conference was a gathering of scientists and engineers who work on real-world systems that behave in a nonlinear and, often, chaotic fashion.

This is a reprint of M C Irwin's beautiful book, first published in 1980.

This book investigates the impact of noise upon the emergence and sustenance of patterns.

Over the last 50 years or so, a number of textbooks, monographs and even popular books have been published on nonlinear control theory and design methods.

Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion.

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves.

In this book, the reader will find a theoretical introduction to noninteger order systems, as well as several applications showing their features and peculiarities.

This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems.

Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research.

This book summarizes the main scientific achievements of the blown-up theory of evolution science, which was first seen in published form in 1994.

This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics.

In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation.

This book applies complexity theory to cognitive science, and the result is a transformation of this field.

Economics and the social sciences are, in fact, the "e;hard"e; sciences, as Herbert Simon argued, because the complexity of the problems dealt with cannot simply be reduced to analytically solvable models or decomposed into separate subprocesses.

This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression-enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems.

Cellular computing is a natural information processing paradigm, capable of modeling various biological, physical and social phenomena, as well as other kinds of complex adaptive systems.

The author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases.

The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics.