Chaos theory

This volume contains invited lectures and selected participants' contributions.

Contrary to the conventional wisdom held by many contemporaries in our time, the popularity of studying complexity is fast becoming a new fad in the intellectual scene.

This textbook combines rigorous mathematical analysis with combustion science to address standard problems in reactive fluid mechanics.

Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules.

A combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975.

Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry.

This book is devoted to the theory of chaotic oscillations in mechanical systems.

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

This book deals with the global qualitative behavior of flows and diffeomorphisms.

Differential Equations in Engineering: Research and Applications describes advanced research in the field of the applications of differential equations in engineering and the sciences, and offers a sound theoretical background, along with case studies.

Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system.

This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold.

The understanding of fields and media using discrete lattice models has been greatly aided by the advent of powerful computers.

This volume is a collection of the papers presented at the International Conference on Fractal Concepts and the Application of Chaos in Chemical Engineering Problems.

This book contains the invited lectures and a short account of communications at the II Granada Lectures which focused on Dynamical Systems.

Chaos is considered as one of the most important concepts in modern science.

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.

This book focuses on the successes and difficulties of nonlinear studies, particularly in the areas of Mind Sciences.

Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology.

The book reviews the application of discrete fractional operators in diverse fields such as biological and chemical reactions, as well as chaotic systems, demonstrating their applications in physics.

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.

Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks.

Volume 2 of Directions in Chaos consists of the contributions made to the Beijing Summer School on Chaotic Phenomena in Nonlinear Systems held in August 1987.

The book gives the Liapunov background for the analysis and synthesis (design) of dynamic behaviour of general networks which represent a large class of nonlinear systems, predominantly physical, and in particular mechanical.

This book provides a comprehensive understanding of the nucleation, motion, and interaction between crystalline defects called dislocations.

This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Henon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit.

The present book, Chaos and Fractals in Engineering, is written for all engineers and experts or graduate students or beginners working in the application fields, and for experimental scientists in general.

Authoritative, highly readable history of aerodynamics and the major theorists and their contributions.

This book provides a comprehensive understanding of the nucleation, motion, and interaction between crystalline defects called dislocations.

The symposium is an attempt to offer perspectives and paradigms in science, which point out novel characters of natural processes.

This book represents a selection of papers presented at the Fourth Annual Conference of the Society for Chaos Theory in Psychology and the Life Sciences, held at Johns Hopkins University in Baltimore, June 24-27, 1995.

Now reissued by Cambridge University Press, this sixth edition covers fundamental aerodynamics using examples, applications and exercises.

The 19th Nihon University International Symposium on Order and Non-Order was held as a summary and conclusion of a three-year (1994-1997) research project.

This conference focused on the current research and future perspectives on the application of disordered systems theory, fractals and chaotic dynamical systems to chemical engineering problems.

Using models, developed in one branch of science, to describe similar behaviors encountered in a different one, is the essence of a synergetic approach.

Covers the fundamental aspects of the classical theory and introduces significant recent developments.

The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory.

As in the first edition, the influence of random noise on the chaotic behavior of dissipative dynamical systems is investigated.

Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.

Articles in this collection discuss basic concepts and modern developments in the field.

Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry.

Memory is a universal function of organized matter.

This book on complexity science comprises a collection of chapters on methods and principles from a wide variety of disciplinary fields - from physics and chemistry to biology and the social sciences.

The automobile is an icon of modern technology because it includes most aspects of modern engineering, and it offers an exciting approach to engineering education.

This book deals with a series of topics on the cutting edge of nonlinear science, striking a balance between theory and experiment.

This essential book is the first comprehensive exposition in the area of optimal low-thrust orbit transfer using non-singular variables.

For centuries, Western science and many Western cultures have taught us to think of ourselves as individuals.