Verwandte Artikel zu Geometric Theory of Dynamical Systems: An Introduction
Inhaltsangabe
...cette etude qualitative (des equations difj'erentielles) aura par elle-m~me un inter~t du premier ordre ...HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
...cette etude qualitative (des equations difj'erentielles) aura par elle-m~me un inter~t du premier ordre ...HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
- VerlagSpringer-Verlag New York Inc.
- Erscheinungsdatum1982
- ISBN 10 0387906681
- ISBN 13 9780387906683
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten210
- Kontakt zum HerstellerNicht verfügbar
Weitere beliebte Ausgaben desselben Titels
Suchergebnisse für Geometric Theory of Dynamical Systems: An Introduction
Beispielbild für diese ISBN
Geometric Theory of Dynamical Systems: An Introduction
Anbieter: Zubal-Books, Since 1961, Cleveland, OH, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, June 16 (SALE ITEM)* First edition, first printing, 198 pp., hardcover, some age-toning to page edges else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1325765
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Geometric Theory of Dynamical Systems: An Introduction
Anbieter: My Dead Aunt's Books, Hyattsville, MD, USA
Verkäuferbewertung 5 von 5 Sternen
hardcover. Zustand: Very Good. Unmarked hardcover no jacket. Bestandsnummer des Verkäufers 141454
Anzahl: 1 verfügbar
Foto des Verkäufers
Geometric Theory of Dynamical Systems: An Introduction
Anbieter: Blue Vase Books, Interlochen, MI, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: good. The item shows wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact including the dust cover, if applicable . Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs, access code or other supplemental materials. Bestandsnummer des Verkäufers BVV.0387906681.G
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Geometric Theory of Dynamical Systems: An Introduction
Anbieter: dsmbooks, Liverpool, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Hardcover. Zustand: Very Good. Very Good. book. Bestandsnummer des Verkäufers D8S0-3-M-0387906681-4
Anzahl: 1 verfügbar