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Dynamical Systems: Examples of Complex Behaviour

Door Jürgen Jost

Categorie
Algemeen wetenschap
Boeknummer
#342528-ZA27
Titel
Dynamical Systems: Examples of Complex Behaviour
Auteur
Jost, Jürgen
Boektype
Paperback
Uitgeverij
Berlin/Heidelberg : Springer-Verlag
Jaar van uitgave
2005
ISBN10
3540229086
ISBN13
9783540229087
Taal
Engels
Beschrijving
Paperback, illustrated with numerous equations and diagrams, 8vo. Universitext.
Samenvatting
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... (Lees verder) 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.
Pagina's
277
Conditie
Goed — Name in pen on title page.
Prijs
€ 25,00

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