Dynamical Systems: Examples of Complex Behaviour (Universitext). [Neubuch].

Jost, Jurgen:

ISBN 10: 3540229086 / ISBN 13: 9783540229087

Published by Springer Berlin Heidelberg, 2008

About this Item

204 S. Buch ist neu, aus priv. Vorbesitz, ungelesen. -----Inhalt:. Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the construction of invariants that allow us to classify qualitative types of dynamical evolution, to distinguish between qualitatively di?erent dynamics, and to studytransitions between di?erent types. Itis also important to ?nd out when a certain dynamic behavior is stable under small perturbations, as well as to understand the various scenarios of instability. Finally, an essential aspect of a dynamic evolution is the transformation of some given initial state into some ?nal or asymptotic state as time proceeds. Stability of dynamical systems, bifurcations, and generic properties.- Discrete invariants of dynamical systems.- Entropy and topological aspects of dynamical systems.- Entropy and metric aspects of dynamical systems.- Entropy and measure theoretic aspects of dynamical systems.- Smooth dynamical systems.- Cellular automata and Boolean networks as examples of discrete dynamical systems. ISBN: 9783540229087 Aufgrund neuer EU Verpackungsgesetze können wir zurzeit nicht in EU Länder außer Deutschland liefern, Lieferungen an Grenz Packstationen oder Grenzpaket Anbieter ist weiterhin möglich. Auch Lieferungen in alle Länder außer der EU und Russland sind weiterhin möglich. Due to new EU packaging regulations, we are currently unable to ship to EU countries other than Germany; however, deliveries to border-located parcel lockers or cross-border parcel services remain possible. Shipments to all countries outside the EU and Russia also remain possible. Sprache: Englisch Gewicht in Gramm: 299.

Seller Inventory # 669220

Bibliographic Details

• Title: Dynamical Systems: Examples of Complex Behaviour (Universitext). [Neubuch].
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2008
• Language: English
• ISBN 10: 3540229086
• ISBN 13: 9783540229087
• Binding: Broschur, 8°
• Edition: 2005.
• Condition: Neu
• Weight: 299 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the construction of invariants that allow us to classify qualitative types of dynamical evolution, to distinguish between qualitatively di?erent dynamics, and to studytransitions between di?erent types. Itis also important to ?nd out when a certain dynamic behavior is stable under small perturbations, as well as to understand the various scenarios of instability. Finally, an essential aspect of a dynamic evolution is the transformation of some given initial state into some ?nal or asymptotic state as time proceeds. Thetemporalevolutionofadynamicalsystemmaybecontinuousordiscrete, butitturnsoutthatmanyoftheconceptstobeintroducedareusefulineither case.

About the Author

Jürgen Jost is a widely-known and successful textbook author. His textbooks with Springer see related literature.