---

＜電子ブック＞
Dynamical Systems : Examples of Complex Behaviour / by Jürgen Jost
(Universitext. ISSN:21916675)

版	1st ed. 2005.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2005
本文言語	英語
大きさ	VIII, 190 p. 65 illus., 15 illus. in color : online resource
著者標目	*Jost, Jürgen author SpringerLink (Online service)
件　名	LCSH:Physics LCSH:Astronomy LCSH:Mathematics LCSH:Dynamical systems LCSH:Operations research LCSH:Econometrics LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Physics and Astronomy FREE:Mathematics FREE:Dynamical Systems FREE:Operations Research and Decision Theory FREE:Quantitative Economics FREE:Calculus of Variations and Optimization
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/3-540-28889-9

 類似資料