Nonlinear science

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos.

Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinarytask, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience,computer science, and applied mathematics, to provide their perspectives.

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.

In this Element, the authors consider fully discretized p-Laplacian problems (evolution, boundary value and variational problems) on graphs.

The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics.

This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent.

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

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.

This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools, thus making it easily accessible to a broader audience of researchers and students.

Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory.

Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinarytask, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience,computer science, and applied mathematics, to provide their perspectives.

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

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

A new class of insulating solids was recently discovered.

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

The goal of this book is to provide a mathematical perspective on some key elements of the so-called deep neural networks (DNNs).

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

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

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

About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently).

This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay.

The main goal is to offer to readers a panorama of recent progress in nonlinear physics, complexity and transport with attractive chapters readable by a broad audience.

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.

Authoritative and visionary, this festschrift features 12 highly readable expositions of virtually all currently active aspects of nonlinear science.

The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications.

Covers an area at intersection of probability theory and statistical mechanics.

This book describes new applications for spatio-temporal chaotic dynamical systems in elementary particle physics and quantum field theories.

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.

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

This book presents an interdisciplinary approach to the question of how observer-participant perspectives are generated, what constrains them and how they may be modified.

Stability of NonLinear Shells is a compilation of the author's work on analyzing the behaviour of spherical caps and related shell structures under various (axisymmetric) load systems.

Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree.

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics.

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

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

In the last forty years, nonlinear analysis has been broadly and rapidly developed.

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

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics.

Extensive solved exercises and solutions to complement the authors'' theoretical text Nonlinear Continuum Mechanics for Finite Element Analysis.

Revolutionary and original, this treatise presents a new paradigm of EMERGENCE and COMPLEXITY, with applications drawn from numerous disciplines, including artificial life, biology, chemistry, computation, physics, image processing, information science, etc.

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.

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.

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

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field - including some innovations by the authors themselves - that have not appeared in any other book.

In this book, leading researchers present their current work in the challenging area of chaos control in nonlinear circuits and systems, with emphasis on practical methodologies, system design techniques and applications.