Nonlinear science

In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations.

In 1971, Leon O.

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.

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

The modern world is complex beyond human understanding and control.

Economics and the social sciences are, in fact, the "e;hard"e; sciences, as Herbert Simon argued, because the complexity of the problems dealt with cannot simply be reduced to analytically solvable models or decomposed into separate subprocesses.

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

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

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

Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering.

The modern world is complex beyond human understanding and control.

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.

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

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

An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions.

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

During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology.

This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.

This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems.

A clear and focused guide to the Navier-Stokes equations that govern fluid motion, including exercises and fully worked solutions.

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

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

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for stochastic systems with traditional and emerging engineering-oriented complexities.

Chaos exists in systems all around us.

Chaos exists in systems all around us.

This book provides a comprehensive overview of the topics related to characterization, control and synchronization of complex spatiotemporal phenomena, from both a theoretical and an experimental point of view.

This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods.

La esencia del texto está en intentar comunicar de la manera más amigable posible, sin perder rigurosidad, un conjunto de técnicas que amplían las ideas generales del análisis de regresión.

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