Ott, Edward Chaos in dynamical systems. 2nd ed. (English) Zbl 1006.37001 Cambridge: Cambridge University Press (ISBN 0-521-81196-1/pbk; 0-521-01084-5/hbk). xii, 478 p. (2002). This second edition updates and expands the first edition (see Zbl 0792.58014). A new chapter on control and synchronization of chaos is included (Chapter 10). This chapter covers such topics as control by a feedback, controlling a steadily running chaotic process, targeting, stability of chaotic set on an invariant manifold, identical, phase, and generalized synchronization of chaotic systems. Further additions concern 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. Also, new homework problems for students have been added. 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. Reviewer: Sergiy Yanchuk (Kyïv) Cited in 1 ReviewCited in 291 Documents MSC: 37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 37C70 Attractors and repellers of smooth dynamical systems and their topological structure 37Cxx Smooth dynamical systems: general theory 81Q50 Quantum chaos 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34H05 Control problems involving ordinary differential equations Keywords:dynamical systems; maps; attractors; quasiperiodicity; multifractals; synchronization; control; chaos; KAM theory; Hénon; Lorenz attractors; quantum chaos PDF BibTeX XML Cite \textit{E. Ott}, Chaos in dynamical systems. 2nd ed. Cambridge: Cambridge University Press (2002; Zbl 1006.37001) Full Text: DOI