Nonlinear science

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.

An exploration of nanoscale fluid phenomena and how to model them through hydrodynamics.

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

An authoritative treatment by leading researchers covering theory and optimal estimation, along with practical applications.

The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems.

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

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

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.

An advanced undergraduate and graduate textbook on the theory of nonlinear dynamical systems.

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

Our book presents a unique and original viewpoint on natural and engineered systems.

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

This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

The book concerns with solving about 650 ordinary and partial differential equations.

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

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

Cavitation and Bubble Dynamics deals with fundamental physical processes of bubble dynamics and cavitation for graduate students and researchers.

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.

A collection of survey papers presenting important new results and focussing on the computation of the Shannon entropy rate.

Emphasises the power of mathematics to provide quantitative insights across the whole area of solid mechanics; accessible and comprehensive.

Presents the major mathematical tools necessary for the study of complex dynamics.

An advanced undergraduate introduction combining mathematical rigour with copious examples of important applications.

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

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.

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

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.

The book concerns with solving about 650 ordinary and partial differential equations.

Account of method of solving soliton equations by the inventor of the method.

In 1971, Leon O.

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

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 book presents Kane''s method, a modern approach that leads economically to equations that can be readily solved by computer.

This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

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

Topics include: viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics and solitons.

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

This is a modern and elegant introduction to engineering fluid mechanics enriched with numerous examples, exercises and applications.

A unifying framework for understanding many types of fluid mixing, for researchers.

Fractional evolution equations describe various complex and nonlocal systems with memory.

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.

Every reader will find something of interest in this book - from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments.

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

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.

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

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 book is based on the proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures held at the Australian National University in Canberra in January 2006.