Chaos in Dynamical Systems

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Cambridge University Press, Aug 22, 2002 - Mathematics - 478 pages
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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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Contents

I
ix
II
1
III
2
IV
6
V
10
VI
15
VII
19
VIII
24
XLVI
236
XLVII
244
XLVIII
245
XLIX
246
L
263
LI
273
LII
295
LIII
296

IX
32
X
45
XI
57
XII
65
XIII
66
XIV
69
XV
71
XVI
77
XVII
80
XVIII
84
XIX
85
XX
89
XXI
91
XXII
96
XXIII
98
XXIV
105
XXV
107
XXVI
113
XXVII
115
XXVIII
122
XXIX
129
XXX
137
XXXI
145
XXXII
152
XXXIII
161
XXXIV
162
XXXV
166
XXXVI
168
XXXVII
169
XXXVIII
175
XXXIX
178
XL
185
XLI
206
XLII
212
XLIII
218
XLIV
228
XLV
233
LIV
299
LV
301
LVI
302
LVII
304
LVIII
305
LIX
310
LX
315
LXI
330
LXII
334
LXIII
338
LXIV
342
LXV
344
LXVI
345
LXVII
353
LXVIII
356
LXIX
363
LXX
367
LXXI
371
LXXII
373
LXXIII
377
LXXV
379
LXXVI
381
LXXVII
390
LXXVIII
393
LXXIX
402
LXXX
409
LXXXI
419
LXXXII
420
LXXXIII
421
LXXXIV
423
LXXXV
439
LXXXVI
442
LXXXVII
449
LXXXVIII
450
XC
452
XCI
475
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Page 471 - Chaos and Quantum Physics Edited by M.-J. Giannoni, A. Voros and J. Zinn-Justin Les Houches Summer School Proceedings Volume 52 1991 xxxiv + 796 pages Price: Dfl.
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About the author (2002)

Edward Ott is currently on the faculty of the University of Maryland where he holds the title of Distinguished University Professor of Physics and of Electrical and Computer Engineering. Before coming to Maryland in 1979, he was a Professor of Electrical Engineering at Cornell University (1968-1979). Prof. Ott's early research was on plasma physics and charged particle beams, including research on space plasmas, fusion plasmas, intense ion beams, and electromagnetic wave generation by electron beams. Since the early 1980s, Prof. Ott's main research interests have been in nonlinear dynamics and its applications to problems in science and engineering. Some of this work includes contributions in the areas of bifurcations of chaotic sets, the fractal dimension of strange attractors, the structure of basin boundaries, applications of chaotic dynamics to problems in fluids and plasmas, and the control and synchronization of chaos. Prof. Ott has also been active in the education of students in nonlinear dynamics. He is an author of over 300 research articles in scientific journals.

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