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Stability Theory of Dynamical Systems
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Librairie Eyrolles - Paris 5e
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Stability Theory of Dynamical Systems

Stability Theory of Dynamical Systems

Nam Parshad Bhatia, Giorgio P. Szegö

226 pages, parution le 05/02/2002

Résumé

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.

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.

Contents

  • Notation
  • Introduction
  • Dynamical Systems
  • Elementary Concepts
  • Recursive Concepts
  • Dispersive Concepts
  • Stability Theory
  • Flow near a Compact Invariant Set
  • Higher Polongation
  • Liapunov Functions for Ordinary Differential Equations
  • Non-Continuous Liapunov Functions for Ordinary Differential Equations
  • References
  • Index

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Nam Parshad Bhatia, Giorgio P. Szegö
Parution 05/02/2002
Nb. de pages 226
Format 15,8 x 23,5
Couverture Broché
Poids 394g
Intérieur Noir et Blanc
EAN13 9783540427483

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