Nonlinear Differential Equations and Dynamical Systems

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Springer Science & Business Media, Feb 20, 2006 - Mathematics - 306 pages
2 Reviews

For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.

 

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Contents

I
1
II
3
III
4
IV
7
VI
10
VII
14
VIII
16
IX
21
LV
136
LVI
138
LVII
140
LVIII
144
LIX
147
LX
150
LXI
154
LXII
157

X
23
XI
25
XIII
29
XIV
31
XV
36
XVI
38
XVIII
40
XIX
43
XX
47
XXI
53
XXII
57
XXIII
59
XXIV
61
XXV
62
XXVI
66
XXVII
67
XXVIII
69
XXX
71
XXXI
75
XXXII
80
XXXIII
83
XXXV
88
XXXVI
91
XXXVII
93
XXXVIII
96
XXXIX
98
XL
103
XLI
107
XLII
108
XLIII
110
XLV
113
XLVI
116
XLVII
119
XLVIII
120
XLIX
122
LI
127
LII
129
LIII
131
LIV
135
LXIII
162
LXIV
166
LXV
167
LXVI
168
LXVII
170
LXVIII
172
LXIX
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LXX
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LXXI
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LXXII
182
LXXIII
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LXXIV
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LXXV
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LXXVI
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LXXVII
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LXXVIII
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LXXIX
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LXXX
207
LXXXI
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LXXXII
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LXXXIII
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LXXXIV
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LXXXV
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LXXXVII
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LXXXVIII
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LXXXIX
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XC
236
XCI
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XCII
242
XCIII
246
XCIV
248
XCV
250
XCVI
252
XCVII
253
XCVIII
255
XCIX
260
C
267
CI
301
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About the author (2006)

Ferdinand Verhulst was born in Amsterdam, The Netherlands, in 1939.

He graduated at the University of Amsterdam in Astrophysics and Mathematics. A period of five years at the Technological University of Delft, started his interest in technological problems, resulting in various cooperations with engineers. His other interests include the methods and applications of asymptotic analysis, nonlinear oscillations and wave theory.

He holds a chair of dynamical systems at the department of mathematics at the University of Utrecht.

Among his other interests are a publishing company, Epsilon Uitgaven, that he founded in 1985, and the relation between dynamical systems and psychoanalysis.

For more information see www.math.uu.nl/people/verhulst

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