Nonlinear science

Nonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering.

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

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

Slime mould Physarum polycephalum is a monstrous single cell well known for its task-solving abilities - solves computational geometry and logical problems, navigates robots and generates music.

First book devoted to subject; an essential reference for applied mathematicians, physicists and engineers.

For graduates, undergraduates and a reference for practising researchers, this covers the physics of fluid transport in micro- and nanofabricated systems.

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

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

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

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

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

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

The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis.

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

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

This book is based on proceedings from a February 2004 Santa Fe Institute workshop.

Science Sifting is designed primarily as a textbook for students interested in research and as a general reference book for existing career scientists.

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.

Chaos control has become a fast-developing interdisciplinary research field in recent years.

This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata.

This book addresses aspects of stochastic quantization for researchers in fields from computational neuroscience through to electronic engineering.

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems.

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

Using models, developed in one branch of science, to describe similar behaviors encountered in a different one, is the essence of a synergetic approach.

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

The modern world is complex beyond human understanding and control.

This book presents a projector analysis of dynamic systems on time scales.

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

Chaos is considered as one of the most important concepts in modern science.

This book is essentially devoted to complex properties (Phase plane structure and bifurcations) of two-dimensional noninvertible maps, i.

Opens up the field by introducing theoretical, mathematical concepts in physical form through examples.

Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view.

This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems.

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.

Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science.

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

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

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

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

Includes a solution manual for problems.

This text covers fundamentals in navigation of modern aerospace vehicles.

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

The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis.

This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators.

New edition of the best-selling graduate textbook on chaos for scientists and engineers.

What every neuroscientist should know about the mathematical modeling of excitable cells, presented at an introductory level.