Nonlinear science

The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems.

This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.

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

This monograph presents the theory of nonconservative systems close to nonlinear integrable ones.

Phase-Locked Loops (PLLs) are electronic systems that can be used as a synchronized oscillator, a driver or multiplier of frequency, a modulator or demodulator and as an amplifier of phase modulated signals.

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

This text covers fundamentals in navigation of modern aerospace vehicles.

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

Derived from the 2001 Santa Fe Institute Conference, "e;The Economy as an Evolving Complex System III,"e; represents scholarship from the leading figures in th area of economics and complexity.

This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs.

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

This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective.

This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression-enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems.

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

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

This book deals with the investigation of global attractors of nonlinear dynamical systems.

Monograph on Graph Directed Markov Systems with backgound and research level material.

In 1971, Leon O.

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

Gregory''s Classical Mechanics is a major new textbook for undergraduate students in mathematics and physics.

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.

In the past hundred years investigators have learned the significance of complex behavior in deterministic systems.

The state of the art in a theory of oscillatory and wave phenomena in hydrodynamical flows is presented in this book.

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.

This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems.

Many chemical and biological processes take place in fluid environments in constant motion - chemical reactions in the atmosphere, biological population dynamics in the ocean, chemical reactors, combustion, and microfluidic devices.

Physical science and technology (engineering) are fundamentally linked by the possibility of predictions: science tests itself and grows by making and checking predictions; technology relies on predictions and thus furthers the growth of the associated science.

This book presents a comprehensive overview of the research and latest developments in the field of the dynamics of coupled and driven chaotic oscillators, aimed at a wide audience.

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

This book focuses on the research topics investigated during the three-year research project funded by the Italian Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR: Ministry of Education, University and Research) under the FIRB project RBNE01CW3M.

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

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 is a reprint of M C Irwin's beautiful book, first published in 1980.

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

This book on econophysics explores the applications of ideas from physics to financial and economic systems.

Designed for engineering graduate students, this book connects basic mathematics to a variety of methods used in engineering problems.

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs.

This volume considers the most recent advances in various topics in partial differential equations.

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

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs.

Surveys, research articles, and commented problems based on a 2004 MRSI research workshop in symplectic geometry, ergodicity, hyperbolic dynamics, and other areas.

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

Psychophysics is by definition mappings between events in the environment and levels of human sensory responses.

Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade.