The discipline of nonlinear dynamics has developed explosively in all areas of physics over the last two decades. 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. Oded Regev demonstrates the possible application of ideas including strange attractors, Poincaré sections, fractals, bifurcations, and complex spatial patterns, to specific astrophysical problems.
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Editorial Reviews
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'There are countless books on dynamical systems, chaos, nonlinear dynamics, and so on, but this is the best for the all-round astrophysicist. It is not a straight-laced textbook or a how-to manual, but a good-natured guidebook to the literature. ... you will end up much better educated, learning lots of facts and insights into a wide range of topics from Liapounov indicators to the theory of turbulence. ... Without eschewing deep results, the book is as readable as a novel, and like any decent novel, deserves to be read from cover to cover ...' The Observatory
Book Description
The discipline of nonlinear dynamics, or chaos, has developed explosively in all areas of physics over the last two decades. This comprehensive primer for researchers and graduate students of astrophysics provides the necessary investigative tools to explore chaotic and complex phenomena. Mathematical concepts and techniques are introduced in the first part of the book, before being applied to a variety of astrophysical systems. The book demonstrates the application of ideas such as strange attractors, Poincaré sections, fractals, bifurcations and complex spatial patterns to specific astrophysical problems.
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Most Helpful Customer Reviews
5 of 5 people found the following review helpful:
5.0 out of 5 stars
Regev's Chaos and Complexity in Astrophysics,
This review is from: Chaos and Complexity in Astrophysics (Hardcover)
"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 (http://physics.technion.ac.il/~regev/erratum.pdf)." -Timothy Purcell
5 of 5 people found the following review helpful:
5.0 out of 5 stars
An excellent text on nonlinear dynamics in strophysics in particular, but on nonlinear dynamics in general,
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This review is from: Chaos and Complexity in Astrophysics (Hardcover)
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...
4 of 4 people found the following review helpful:
5.0 out of 5 stars
An excellent introduction for astrophysicists to a wide range of topics in nonlinear dynamics and chaos theory,
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This review is from: Chaos and Complexity in Astrophysics (Hardcover)
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.
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