Nonlinear science

Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.

The authors develop a systematic applied mathematics perspective on the problems associated with filtering complex turbulent systems.

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

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

A comprehensive course on entropy in dynamical systems ideal for graduate students learning the subject from scratch.

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

Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field.

Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible.

Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible.

Nonlinear Parameter Optimization Using RJohn C.

Nonlinear Parameter Optimization Using RJohn C.

Combines a systematic analysis of bifurcations of iterated maps with concrete MATLAB® implementations and applications.

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

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

Provides an introduction to the modeling, analysis, design, measurement and real-world applications of vibrations, with online interactive graphics.

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Provides an introduction to the modeling, analysis, design, measurement and real-world applications of vibrations, with online interactive graphics.

Provides a foundation for understanding complex fluids by integrating fluid dynamics, statistical physics, and polymer and colloid science.

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

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

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

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

Describes the fundamental effects of buoyancy, a key force in driving air and transporting heat and pollutants around a building''s interior.

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

Describes the fundamental effects of buoyancy, a key force in driving air and transporting heat and pollutants around a building''s interior.

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

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

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

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

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

A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.

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

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

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

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

V.

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

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

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

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

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

An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

Describes pattern formation processes and how they can be modeled for graduate-level courses.

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

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.

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

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

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