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  3. Chaos in Dynamical Systems
  • Cited by 1348
  • 2nd edition
  • Edward Ott, University of Maryland, College Park
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2002
Online ISBN:
9780511803260
DOI:
https://doi.org/10.1017/CBO9780511803260
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Nonlinear Science and Fluid Dynamics
Information

Book description

Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.

Reviews

From reviews of the previous edition:‘… a stimulating selection of topics that could be taught a la carte in postgraduate courses. The book is given unity by a preoccupation with scaling arguments, but covers almost all aspects of the subject (dimensions of strange attractors, transitions to chaos, thermodynamic formalism, scattering quantum chaos and so on … Ott has managed to capture the beauty of this subject in a way that should motivate and inform the next generation of students in applied dynamical systems.’

Source: Nature

From reviews of the previous edition:‘… proves there is definitely enough worthwhile material on chaos to fill a semester … Chapter exercises are at a good level for graduate students … worthwhile for the researcher who wants to learn about chaos on his or her own … a welcome volume for those who keep even modest collections on nonlinear dynamics.’

Source: Physics Today

‘… a book that will be of most interest to physicists and engineers … The book is well written, and does contain material that is hard to find elsewhere. In particular, the discussion of fractal basin boundaries is lucidly written, and this is an important topic.’

Source: Bulletin of Mathematical Biology

'This second edition updates and expands the first edition. This very comprehensive book on chaotic dynamics is intended to use in a graduate course for scientists and engineers. It can also be used as a reference for researchers in the field of nonlinear dynamics.'

Source: Zentralblatt für Mathematik

‘The book is a comprehensive text and covrs all aspects of dynamical systems in a highly readable account.’

Source: Mathematics Today

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