Chaos and Complexity in Astrophysics by Oded Regev (PDF)

Description

The discipline of nonlinear dynamics has developed explosively in all areas of physics. This comprehensive primer summarizes the main developments in the mathematical theory of dynamical systems, chaos, pattern formation and complexity. An introduction to mathematical concepts and techniques is given in the first part of the book, before being applied to stellar, interstellar, galactic and large scale complex phenomena in the Universe. Regev demonstrates the possible application of ideas including strange attractors, Poincaré sections, fractals, bifurcations, and complex spatial patterns, to specific astrophysical problems. This self-contained text will appeal to a broad audience of astrophysicists and astronomers who wish to understand and apply modern dynamical approaches to the problems they are working on. It provides researchers and graduate students with the investigative tools they need to fully explore chaotic and complex phenomena.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐a good guide book to the literature in this subject, lots of facts and readable. I have learned plenty.

⭐I considered adapting it for a graduate class I taught on stability and non-normality. It didn’t happened, because eventually I decided to write my own notes in the hope it will prompt me to write my own book on non-linear dynamics (has not happened yet…)However, I was deeply impressed by this book. It is very clearly written, very thorough yet tractable, and at times witty. Most importantly, some issues I consider subtle, tricky or often overlooked or addressed head-on here, meticulously , scientifically soundly and, astonishingly, in a manner I think is suitable for even first or second year graduate students.In short, I STRONGLY recommend this book to anybody interested in nonlinear dynamics, in the heavens or on earth…

⭐The book gives the essential details of such areas as bifurcation theory, strange attractors, fractals, and Hamiltonian systems, filling a gap in existing astrophysical literature. Comprehensive descriptions of those topics in astrophysics to which chaos theory has made significant contributions (e.g., the theory of stellar pulsations; dynamics of the solar system) are also included. The fact that the text is essentially self-contained makes it attractive for both graduate students and researchers to use.

⭐”Very readable, engaging and understandable. Regev offers insights into and explanations of complex concepts and methods by using frameworks familiar to students (particularly of astronomy) on the graduate level. I found that there are a number of typos and misprints. However, the author offers a useful, detailed and up-to-date errata that can be accessed on his site ([…]”-Timothy Purcell

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