Stability Theory of Dynamical Systems

Couverture
Springer Science & Business Media, 10 janv. 2002 - 225 pages
From the reviews:
"This is an introductory book intended for beginning graduate students or, perhaps advanced undergraduates. ... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
Mathematical Reviews, 1972
"The exposition is remarkably clear, definitions are separated explicitly, theorems are often provided together with the motivation for changing one or other hypothesis, as well as the relevance of certain generalisations... This study is an excellent review of the current situation for problems of stability of the solution of differential equations. It is addressed to all interested in non-linear differential problems, as much from the theoretical as from the applications angle."
Bulletin de la Société Mathématique de Belgique, 1975
 

Table des matières

III
5
V
6
VI
10
VII
12
VIII
15
IX
19
X
24
XI
30
XXVIII
117
XXIX
119
XXX
120
XXXI
124
XXXII
129
XXXIII
133
XXXIV
134
XXXV
136

XII
31
XIII
36
XIV
41
XV
42
XVI
43
XVII
48
XVIII
55
XIX
56
XX
66
XXI
79
XXII
84
XXIII
99
XXIV
106
XXV
111
XXVI
114
XXVII
116
XXXVI
138
XXXVII
145
XXXVIII
150
XXXIX
156
XL
160
XLI
162
XLII
166
XLIII
169
XLIV
172
XLV
176
XLVI
177
XLVII
179
XLIX
183
L
185
LI
219
LII
221

Autres éditions - Tout afficher

Stability Theory of Dynamical Systems, Volume 5,Partie 2
Nam Parshad Bhatia,G. P. Szegö
Affichage d'extraits - 1970
Stability Theory of Dynamical Systems
N.P. Bhatia,G.P. Szegö
Aucun aperçu disponible - 1970

Expressions et termes fréquents

Amer assume asymptotically stable set Chapter characterization closed set compact minimal set compact set component concepts connected set contains continuity axiom continuous function contradiction Corollary D+(M D+(x defines a dynamical definition dynamical system dynamical system defined example exists following theorem G. P. SZEGO given Hence homeomorphic implies integer ISBN J+(x Lagrange Liapunov functions locally compact locally compact spaces lower-semicontinuous Math metric space motion N. P. BHATIA Nauk NEMYTSKII non-empty non-wandering non-wandering points open set ordinary differential equations parallelizable periodic Poisson stable positively invariant real number real-valued function defined recurrent region of attraction rest point Russian semi-trajectory sequence set MCX solutions stability properties Stability Theory t₁ t₂ Theorem Theorem 3.9 theory of dynamical tion topological torus trajectory U₁ uniform attractor unstable weak attractor y+(x

Références à ce livre

À propos de l'auteur (2002)

Biography of Nam Parshad Bhatia

Born in Lahore, India (now Pakistan) in 1932, Dr. Nam P. Bhatia studied physics and mathematics at Agra University. He then went to Germany and completed a doctorate in applied mathematics in Dresden in 1961.

After returning to India briefly, he came to the United States in 1962 at the invitation of Solomon Lefschetz. In the US, Dr. Bhatia held research and teaching positions at the Research Institute of Advanced Studies, Baltimore, MD, Case Western Reserve University, Cleveland, OH, and the University of Maryland Baltimore County (UMBC). He was instrumental in developing the graduate programmes in Applied Mathematics, Computer Science, and Statistics at UMBC.

Dr. Bhatia is currently Professor Emeritus at UMBC where he continues to pursue his research interests, which include the general theory of Dynamical and Semi-Dynamical  Systems with emphasis on Stability, Instability, Chaos, and Bifurcations.

 

Biography of Giorgio P. Szegö

Giorgio Szegö was born in Rebbio, Italy, on July 10, 1934. After his studies at the University of Pavia and at the Technische Hochschule Darmstadt, he joined the Research Institute of Advanced Studies in Baltimore in 1961.

From 1964 he held positions at the universities of Milano and Venice as well as several universities and research institutions in France, Spain, UK, and USA. He is currently Professor at the University of Roma "La Sapienza". Szegö's research contributions range from stability theory of ordinary differential equations to optimization theory.

Informations bibliographiques

TitreStability Theory of Dynamical Systems
Classics in Mathematics
AuteursN.P. Bhatia, G.P. Szegö
Éditionillustrée, réimprimée
ÉditeurSpringer Science & Business Media, 2002
ISBN3540427481, 9783540427483
Longueur225 pages
  
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