Chaos theory is an interdisciplinary area of scientific study and branch of mathematics focused on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. While the rules governing chaotic dynamical systems are well-specified and simple, the behaviour of many such systems is remarkably complex and produce output that appears random and for which long-term prediction is impossible. As well as a branch of mathematics, it is critical in understanding of many real world systems and find applications in fields such as computer science, geology, engineering, meteorology, physics, population dynamics, robotics, biology, politics, philosophy and economics.
Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, this book will be to students at the undergraduate and advanced levels, but also to researchers in the physical, social, and biological sciences needing more conceptual introduction to chaos and chaotic systems.
Key Features:
- Accessible introduction
- Chaos in classical and quantum systems
- Reviews the various definitions of chaos
- Modelling, forecasting and mitigation
- Broad review