Nonlinear science

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.

This book is an inspirational introduction to modern research directions and scholarship in nonlinear dynamics, and will also be a valuable reference for researchers in the field.

This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes.

This book is the second volume of lecture notes on various topics in nonlinear physics delivered by specialists in the field who gave courses in the small village of Peyresq (France) during summer schools (2000, 2001, 2002) organised by the Institut Non Lineaire de Nice (INLN), in collaboration with the Institut de Recherche de Physique Hors Equilibre (IRPHE).

Technical problems often lead to differential equations with piecewise-smooth right-hand sides.

The shared platform of the articles collected in this volume is used to advocate a dynamical systems approach to cognition.

This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.

In 1971, Leon O.

During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared.

This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view.

A new class of insulating solids was recently discovered.

Synchronization processes bring about dynamical order and lead to spontaneous development of structural organization in complex systems of various origins, from chemical oscillators and biological cells to human societies and the brain.

Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century.

In the history of physics and science, quantum mechanics has served as the foundation of modern science.

Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade.

This volume covers the most recent progress of research work on electrorheological (ER) and magnetorheological (MR) industrial applications related to controllable damping, ER/MR fundamental mechanisms, and understanding the potential of new classes of field responsive materials.

This proceedings volume is a collection of papers presented at the International Conference on SPT2004 focusing on symmetry, perturbation theory, and integrability.

For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles.

In the domain of science concerned with systems structure and behavior, the issue of the relationship between the micro and the macro level is of key importance.

Understanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science.

Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions.

A crowd-mind emerges when formation of a crowd causes fusion of individual minds into one collective mind.

This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics.

With the poems written by winner of the Posner Poetry Award from the Council of Wisconsin Writers in 2005, this coffee-table book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems.

A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory.

This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.

The Hungarian born mathematical genius, John von Neumann, was undoubtedly one of the greatest and most influential scientific minds of the 20th century.

This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving.

This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments.

This book brings together several contributions from leading experts in the field of nonlinear wave propagation.

This volume considers the most recent advances in various topics in partial differential equations.

This unique book focuses on critical point theory for strongly indefinite functionals in order to deal with nonlinear variational problems in areas such as physics, mechanics and economics.