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Produktbild: Stability Theory of Dynamical Systems

Stability Theory of Dynamical Systems

Aus der Reihe Classics in Mathematics

49,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

10.01.2002

Abbildungen

XII, 225 p.

Verlag

Springer Berlin

Seitenzahl

225

Maße (L/B/H)

23,5/15,5/1,4 cm

Gewicht

376 g

Auflage

Softcover reprint of the original 1st ed. 2002

Sprache

Englisch

ISBN

978-3-540-42748-3

Beschreibung

Rezension

From the reviews:



"The book presents a systematic treatment of the theory of dynamical systems and their stability written at the graduate and advanced undergraduate level. … The book is well written and contains a number of examples and exercises." (Alexander Olegovich Ignatyev, Zentralblatt MATH, Vol. 993 (18), 2002)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

10.01.2002

Abbildungen

XII, 225 p.

Verlag

Springer Berlin

Seitenzahl

225

Maße (L/B/H)

23,5/15,5/1,4 cm

Gewicht

376 g

Auflage

Softcover reprint of the original 1st ed. 2002

Sprache

Englisch

ISBN

978-3-540-42748-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Stability Theory of Dynamical Systems
  • I. Dynamical Systems.- 1. Definition and Related Notation.- 2. Examples of Dynamical Systems.- Notes and References.- II. Elementary Concepts.- 1. Invariant Sets and Trajectories.- 2. Critical Points and Periodic Points.- 3. Trajectory Closures and Limit Sets.- 4. The First Prolongation and the Prolongational Limit Set.- Notes and References.- III. Recursive Concepts.- 1. Definition of Recursiveness.- 2. Poisson Stable and Non-wandering Points.- 3. Minimal Sets and Recurrent Points.- 4. Lagrange Stability and Existence of Minimal Sets.- Notes and References.- IV. Dispersive Concepts.- 1. Unstable and Dispersive Dynamical Systems.- 2. Parallelizable Dynamical Systems.- Notes and References.- V. Stability Theory.- 1. Stability and Attraction for Compact Sets.- 2. Liapunov Functions: Characterization of Asymptotic Stability.- 3. Topological Properties of Regions of Attraction.- 4. Stability and Asymptotic Stability of Closed Sets.- 5. Relative Stability Properties.- 6. Stability of a Motion and Almost Periodic Motions.- >Notes and References.- V. Flow near a Compact Invariant Set.- 1. Description of Flow near a Compact Invariant Set.- 2. Flow near a Compact Invariant Set (Continued).- Notes and References.- VII. Higher Prolongations.- 1. Definition of Higher Prolongations.- 2. Absolute Stability.- 3. Generalized Recurrence.- Notes and References.- VIII. ?1-Liapunov Functions for Ordinary Differential Equations.- 1. Introduction.- 2. Preliminary Definitions and Properties.- 3. Local Theorems.- 4. Extension Theorems.- 5. The Structure of Liapunov Functions.- 6. Theorems Requiring Semidefinite Derivatives.- 7. On the Use of Higher Derivatives of a Liapunov Function.- Notes and References.- IX. Non-continuous Liapunov Functions for Ordinary Differential Equations.- 1.Introduction.- 2. A Characterization of Weak Attractors.- 3. Piecewise Differentiable Liapunov Functions.- 4. Local Results.- 5. Extension Theorems.- 6. Non-continuous Liapunov Functions on the Region of Weak Attraction.- Notes and References.- References.- Author Index.