Chaos in dynamical systems

By: Ott, EdwardMaterial type: TextTextPublication details: UK: Cambridge University Press, [c2002]Edition: 2nd edDescription: 478 pISBN: 9780521010849
Contents:
1 - Introduction and overview 2 - One-dimensional maps 3 - Strange attractors and fractal dimension 4 - Dynamical properties of chaotic systems 5 - Nonattracting chaotic sets 6 - Quasiperiodicity 7 - Chaos in Hamiltonian systems 8 - Chaotic transitions 9 - Multifractals 10 - Control and synchronization of chaos 11 - Quantum chaos
Summary: 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.
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
General Sc Rack No 3 Q172.5.C45 (Browse shelf (Opens below)) Available Billno:95076; Billdate: 2016-08-04 00280
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1 - Introduction and overview
2 - One-dimensional maps
3 - Strange attractors and fractal dimension
4 - Dynamical properties of chaotic systems
5 - Nonattracting chaotic sets
6 - Quasiperiodicity
7 - Chaos in Hamiltonian systems
8 - Chaotic transitions
9 - Multifractals
10 - Control and synchronization of chaos
11 - Quantum chaos

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.

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