Chaos theory

When the First Edition of this book was written in 1951, the gas turbine was just becoming established as a powerplant for military aircraft.

The goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective.

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions.

When the First Edition of this book was written in 1951, the gas turbine was just becoming established as a powerplant for military aircraft.

Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research.

Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields.

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.

The influence of random noise on the chaotic behaviour of nonlinear system is investigated.

This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs.

This volume provides a self-contained survey of the mechanisms presiding information processing and communication.

When a leaf falls on a windy day, it drifts and tumbles, tossed every which way on the breeze.

This is the second volume in a series intended to give clear expositions of the applications of the new techniques developed to understand nonlinear phenomena in the life sciences.

The aim of the symposium was to gather fellow researchers, colleagues and friends of Professor William R Sears, a member of the National Academy of Science and the Academy of Engineering, on the occasion of his 80th birthday.

A concise yet comprehensive treatment of the fundamentals of solid mechanics, including solved examples, exercises, and homework problems.

This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians.

Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems.

This volume, the third in our unique series on experimental chaos, brings together from a broad range of disciplines, some of the exciting developments of the last two years concerned with the observations, measurements and applications of nonlinear dynamical behaviour.

The 2nd experimental chaos conference provided a multidisciplinary forum for the scientific and engineering communities to present recent developments of and techniques in nonlinear dynamics.

A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors.

Discusses the use of manipulators on satellites and the dynamics of satellites carrying robotic manipulators and of planetary rovers.

Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics.

Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions.

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves.

The basic procedures for designing and analysing electronic systems are based largely on the assumptions of linear behavior of the system.

Chaos control has become a fast-developing interdisciplinary research field in recent years.

This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving.

This comprehensive book presents, in depth, what engineers need to know about modelling rotorcraft aeromechanics.

A system is loosely defined as complex if it is composed of a large number of elements, interacting with each other, and the emergent global dynamics is qualitatively different from the dynamics of each one of the parts.

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.

This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time.

Surveys topics in the theory and applications of dynamical systems subject to random shocks.

This book develops concepts and a methodology for a rational description of the organization of three-dimensional flows considering, in particular, the case where the flow is the place of separations.

This conference brought together scientists from diverse disciplines such as biomedical and electrical engineering, mathematics, physics, neurology, neuroscience, psychophysiology and psychology to discuss the application of nonlinear dynamics in the study of brain function.

Reviews our current understanding of the subject.

Literature and Ecotheology: From Chaos to Cosmos challenges us in a time of climate crisis to find more common ground between the dual projects of ecocriticism and ecotheology.

Basic Helicopter Aerodynamics is widely appreciated as an easily accessible, rounded introduction to the first principles of the aerodynamics of helicopter flight.

Aircraft Flight provides accurate physical, rather than mathematical, descriptions of the principles of aircraft flight.

This volume contains the proceedings of a satellite conference of the 1990 International Congress of Mathematicians.

A tendency exists in management theory and practice today to accept that our linear and deterministic ways of thinking about managerial problems create more problems than they solve.

This volume, the first of a two-volume book, consists of a collection of comprehensive reviews and lectures written by active researchers on topics in chaotic phenomena.

This volume comprises about forty research papers and essays covering a wide range of subjects in the forefront of contemporary statistical physics.

The book is devoted to the mathematical theory of soliton phenomena on the plane.

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 best parts of physics are the last topics that our students ever see.

This book provides the limit theorems that can be used in the development of nonlinear cointegrating regression.

Over the past fifty years, the development of chaotic dynamical systems theory and its subsequent wide applicability in science and technology has been an extremely important achievement of modern mathematics.

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

Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly.

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

State-of-the-art coverage of modern computational methods for the analysis and design of beams Analysis and Design of Elastic Beams presents computer models and applications related to thin-walled beams such as those used in mechanical and aerospace designs, where thin, lightweight structures with high strength are needed.