Bifurcations and Catastrophes: Geometry of Solutions to Nonlinear Problems

Couverture
Springer Science & Business Media, 15 déc. 1999 - 304 pages
Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.
 

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Table des matières

II
13
III
14
IV
17
V
19
VI
20
VII
24
VIII
26
IX
29
LIX
157
LX
159
LXI
161
LXII
164
LXIII
168
LXIV
170
LXV
172
LXVI
175

X
31
XI
32
XII
36
XIII
40
XIV
43
XV
45
XVI
47
XVII
50
XVIII
52
XIX
55
XX
58
XXI
60
XXII
63
XXIII
65
XXIV
69
XXV
70
XXVI
74
XXVII
75
XXVIII
78
XXIX
81
XXX
83
XXXI
86
XXXII
87
XXXIII
88
XXXIV
90
XXXV
93
XXXVI
96
XXXVII
98
XXXVIII
100
XXXIX
104
XL
108
XLI
109
XLII
111
XLIII
115
XLIV
117
XLV
119
XLVI
120
XLVII
123
XLVIII
126
XLIX
130
L
133
LI
135
LII
138
LIII
140
LIV
143
LV
147
LVI
149
LVII
151
LVIII
155
LXVII
179
LXVIII
181
LXIX
185
LXX
188
LXXI
191
LXXII
193
LXXIII
196
LXXIV
200
LXXV
203
LXXVI
206
LXXVII
211
LXXVIII
213
LXXIX
219
LXXX
220
LXXXI
223
LXXXII
226
LXXXIII
228
LXXXIV
230
LXXXV
233
LXXXVI
234
LXXXVII
238
LXXXVIII
239
LXXXIX
242
XC
243
XCI
247
XCII
249
XCIII
250
XCIV
252
XCV
254
XCVI
256
XCVII
258
XCVIII
260
XCIX
264
C
266
CI
268
CII
269
CIII
270
CIV
273
CV
275
CVI
277
CVII
280
CVIII
282
CX
284
CXI
287
CXII
289
CXIII
293
CXIV
295
CXV
303
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