Nonlinear science

A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.

This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective.

Presents an updated, full-color, second edition on thermodynamics, providing a structured approach to this subject and a wealth of new problems.

Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables.

This edition of this successful text includes chapters on hyperelastic plastic behaviour and updates to FLagSHyP web program.

Bridges studies the origin of Korteweg–de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.

Analyzes approaches to the study of complexity in the physical, biological, and social sciences.

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

Investigates new models of nonlinear flows, how they can be approximated and linearized, based on Koopman theory analysis.

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.

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

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

Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables.

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 rigorously comprehensive and interdisciplinary text on wave turbulence, for graduate students and researchers in physics-related fields.

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

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

This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses.

An introduction to one-dimensional dynamics for graduate students with novel connections to other areas of mathematics.

Gregory''s Classical Mechanics is a major new textbook for undergraduate students in mathematics and physics.

Cellular automata provide one of the most interesting avenues into the study of complex systems in general, as well as having an intrinsic interest of their own.

Many chemical and biological processes take place in fluid environments in constant motion - chemical reactions in the atmosphere, biological population dynamics in the ocean, chemical reactors, combustion, and microfluidic devices.

Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books.

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

Many nonlinear systems around us can generate a very complex and counter-intuitive dynamics that contrasts with their simplicity, but their understanding requires concepts that are outside the basic training of most science students.

This unique book explores the definition, sources and role of randomness.

This unique book provides a fundamental introduction to all aspects of modern plasma chemistry.

This book introduces a rapidly growing new research area - the study of dynamical properties of elementary fields.

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 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.

This monograph presents the theory of nonconservative systems close to nonlinear integrable ones.

A detailed exposition, with applications to problems in potential theory and quantum field theory.

The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory.

Connections between genes and molecules, neurons and hormones, thinking and language, people and organizations create a continuous flow of synchronized interactions.

Clearly connects macroscopic and microscopic thermodynamics and explains non-equilibrium behavior in kinetic theory and chemical kinetics.

This innovative book brings together two disciplines - science and art - and enables readers to produce their own computer-generated displays.

In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena.

This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France).

This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.

Bose-Einstein condensation was discovered in atomic gas systems, where Bose condensate occupies 100% of the total system at zero temperature.

This book offers a detailed treatment of a class of algebro-geometric solutions and their representations.

This textbook provides engineers with the capability, tools and confidence to solve real-world heat transfer problems.

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.

One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes.

This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations.

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

Wave or weak turbulence is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear optics to quantum fluids.