Introduction to the Modern Theory of Dynamical Systems

Cover
Cambridge University Press, 1997 - 802 Seiten
This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbits structure. The third and fourth parts develop in depth the theories of low-dimensional dynamical systems and hyperbolic dynamical systems. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up. Scientists and engineers working in applied dynamics, nonlinear science, and chaos will also find many fresh insights in this concrete and clear presentation. It contains more than four hundred systematic exercises.

Im Buch

Was andere dazu sagen - Rezension schreiben

Es wurden keine Rezensionen gefunden.

Inhalt

I
vii
II
xiii
III
1
IV
6
V
8
VI
10
VII
13
IX
15
LXXXI
405
LXXXII
410
LXXXIII
412
LXXXIV
415
LXXXV
419
LXXXVI
423
LXXXVII
424
LXXXVIII
425

X
19
XI
26
XII
28
XIII
32
XIV
35
XV
39
XVI
42
XVII
47
XVIII
57
XX
64
XXI
68
XXII
71
XXIII
79
XXIV
87
XXV
90
XXVI
94
XXVII
100
XXVIII
105
XXX
119
XXXI
128
XXXII
133
XXXIV
146
XXXV
161
XXXVI
173
XXXVII
179
XXXVIII
183
XXXIX
196
XL
200
XLI
205
XLII
219
XLIII
229
XLIV
233
XLV
235
XLVI
237
XLVIII
239
XLIX
260
L
263
LI
273
LII
278
LIII
287
LV
290
LVI
298
LVII
304
LVIII
307
LIX
308
LX
310
LXI
316
LXII
318
LXIII
323
LXIV
326
LXV
330
LXVI
335
LXVII
336
LXVIII
339
LXIX
349
LXX
365
LXXI
367
LXXII
372
LXXIII
376
LXXIV
379
LXXV
381
LXXVII
387
LXXVIII
393
LXXIX
401
LXXX
403
LXXXIX
434
XC
441
XCI
447
XCII
451
XCIII
452
XCIV
457
XCV
460
XCVI
464
XCVII
470
XCVIII
479
XCIX
483
C
489
CI
493
CII
500
CIII
505
CIV
511
CV
514
CVI
519
CVII
520
CVIII
525
CIX
526
CX
529
CXI
531
CXII
532
CXIII
537
CXIV
541
CXV
549
CXVI
551
CXVII
555
CXVIII
559
CXIX
565
CXX
571
CXXI
574
CXXII
581
CXXIII
583
CXXIV
587
CXXV
591
CXXVI
597
CXXVII
608
CXXVIII
615
CXXXI
623
CXXXII
628
CXXXIII
637
CXXXIV
643
CXXXV
651
CXXXVI
657
CXXXVII
659
CXXXVIII
660
CXXXIX
672
CXL
678
CXLI
693
CXLII
701
CXLIII
703
CXLIV
711
CXLV
715
CXLVI
727
CXLVII
730
CXLVIII
731
CXLIX
735
CL
738
CLI
741
CLII
765
CLIII
781
CLIV
793
Urheberrecht

Häufige Begriffe und Wortgruppen

Bibliografische Informationen