Overview

Chaos theory is a branch of mathematics and it is focused on the behavior of dynamical systems that are highly sensitive to initial conditions. 'Chaos' is an interdisciplinary theory stating that within the apparent randomness of chaotic complex systems, there are underlying patterns, constant feedback loops, repetition, self-similarity, fractals, self-organization, and reliance on programming at the initial point known as sensitive dependence on initial conditions. The butterfly effect describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state, e.g. a butterfly flapping its wings in Brazil can cause a hurricane in Texas. Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for such dynamical systems-a response popularly referred to as the butterfly effect-rendering long-term prediction of their behavior impossible in general. This happens even though these systems are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos. This book presents an overview of chaos theory. This book is designed to be a state of the art, superb academic reference work and provide an overview of the topic and give the reader a structured knowledge to familiarize yourself with the topic at the most affordable price possible. The accuracy and knowledge is of an international viewpoint as the edited articles represent the inputs of many knowledgeable individuals and some of the most current knowledge on the topic, based on the date of publication.

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9781979606622

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The editor has degrees in Engineering Physics, Nuclear Engineering & Biomedical Engineering from the University of Michigan and is an Engineer, Senior Scientist & Former Intelligence Officer for the CIA & US Intelligence Community and was President & Founder of an award-winning Defense Contracting Company. He has also been a Contributing Author for The International Encyclopedia on Intelligence and Counter-Intelligence and has authored several books, edited many other books and has written numerous Technical, Classified & Unclassified papers, Articles & Essays and has also appeared in Marquis Who's Who in the World & Who's Who in Science & Engineering and continues to edit and write.

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