Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations

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Cambridge University Press, Nov 25, 1994 - Mathematics - 388 pages
By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems.
 

Contents

I
xi
II
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III
8
V
9
VI
15
VII
19
VIII
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IX
26
LVII
170
LIX
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LX
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LXI
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LXII
178
LXIII
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LXIV
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LXV
188

X
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XI
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XII
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XIII
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XIV
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XV
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XVI
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XVII
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XVIII
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XIX
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XX
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XXI
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XXII
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XXIII
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XXV
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XXVI
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XXVII
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XXVIII
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XXIX
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XXX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVI
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XXXVII
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XXXVIII
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XL
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XLI
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XLII
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XLIII
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XLIV
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XLV
145
XLVI
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XLIX
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L
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LI
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LII
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LIII
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LIV
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LV
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LXVI
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LXVIII
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LXIX
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LXX
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LXXI
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LXXII
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LXXIII
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LXXIV
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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
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LXXXII
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LXXXIII
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LXXXIV
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LXXXV
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LXXXVI
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LXXXVII
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XC
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XCI
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XCII
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XCIII
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XCIV
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XCVI
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XCVII
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XCVIII
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XCIX
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C
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CI
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CII
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CIII
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CIV
327
CV
332
CVI
334
CVII
339
CVIII
353
CIX
359
CX
363
CXI
366
CXII
370
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