Chaos theory

The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

This book describes the basic principles of Clean Numerical Simulation (CNS) proposed by the author in 2009, as well as several of its applications.

This book offers an overview of advanced techniques to study atmospheric dynamics by numerical experimentation.

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.

This volume describes the use of simple analog circuits to study nonlinear dynamics, chaos and stochastic resonance.

This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over.

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

This book discusses the influence of quasiperiodic force on dynamical system.

This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.

This book introduces the subject of probabilistic analysis to engineers and can be used as a reference in applying this technology.

There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science.

Reviews our current understanding of the subject.

This book introduces the subject of probabilistic analysis to engineers and can be used as a reference in applying this technology.

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

Chaos theory has captured scientific and popular attention.

Aerodynamic design of aircraft presented with applications, using CFD software and featuring tutorials, exercises, and mini-projects.

For engineers, applied scientists and students working in flow-induced instability and vibration in wind and ocean engineering and the power industry.

This review volume consists an indispensable collection of research papers chronicling the recent progress in controlling chaos.

A treatment of low-speed aerodynamics, covering both theory and computational techniques, first published in 2001.

This book introduces a rapidly growing new research area - the study of dynamical properties of elementary fields.

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 aims to familiarise the reader with the essential properties of the chaotic dynamics of Hamiltonian systems.

What is time?

Learn the design and analysis of numerical algorithms for aerodynamics.

For anyone interested in the aerodynamics, structural dynamics and flight dynamics of small birds, bats, insects and air vehicles (MAVs).

This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrodinger-like equation in Hilbert space.

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

This book is the first attempt to give a chaotic dynamics interpretation of processes having to do with category formation and pattern recognition by systems possessing simple hardware e.

This volume includes the best papers presented at the CHAOS 2008 International Conference on Chaotic Modeling, Simulation and Applications.

A treatment of low-speed aerodynamics, covering both theory and computational techniques, first published in 2001.

This book is intended to give a survey of the whole field of nonlinear dynamics (or "e;chaos theory"e;) in compressed form.

This volume is a collection of more than 7000 full titles of books and papers related to chaotic behaviour in nonlinear dynamics.

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.

This book is concerned with the sport of soaring, mainly with the mathematical basis of sailplane design and operation.

This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology.

A bold, visionary, and mind-bending exploration of how the geometry of chaos can explain our uncertain world-from weather and pandemics to quantum physics and free will Covering a breathtaking range of topics from climate change to the foundations of quantum physics, from economic modelling to conflict prediction, from free will to consciousness and spirituality The Primacy of Doubt takes us on a unique journey through the science of uncertainty.

The Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Universite Libre de Bruxelles.

True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component.

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.

A bold, visionary, and mind-bending exploration of how the geometry of chaos can explain our uncertain world-from weather and pandemics to quantum physics and free will Covering a breathtaking range of topics from climate change to the foundations of quantum physics, from economic modelling to conflict prediction, from free will to consciousness and spirituality The Primacy of Doubt takes us on a unique journey through the science of uncertainty.

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

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

This collection of articles introduces the idea of a hierarchical order in chaotic systems and natural phenomena.

Transonic flow occurs around moving objects as they approach and cross the sound barrier.

What happens to scientific knowledge when researchers outside the natural sciences bring elements of the latest trend across disciplinary boundaries for their own purposes?