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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Concepts and Results in Chaotic Dynamics: A Short Course
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Concepts and Results in Chaotic Dynamics: A Short Course
Jean-Pierre Eckmann (Gebundene Ausgabe, Englisch)
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Beschreibung
This book is devoted to the subject commonly called Chaotic Dynamics, namely the study of complicated behavior in time of maps and ?ows, called dynamical systems. The theory of chaotic dynamics has a deep impact on our understanding of - ture, and we sketch here our view on this question. The strength of this theory comes from its generality, in that it is not limited to a particular equation or… scienti?c - main. It should be viewed as a conceptual framework with which one can capture properties of systems with complicated behavior. Obviously, such a general fra- work cannot describe a system down to its most intricate details, but it is a useful and important guideline on how a certain kind of complex systems may be understood and analyzed. The theory is based on a description of idealized systems, such as “hyperbolic” systems. The systems to which the theory applies should be similar to these idealized systems. They should correspond to a ?xed evolution equation, which, however, need to be neither modeled nor explicitly known in detail. Experimentally, this means that the conditions under which the experiment is performed should be as constant as possible. The same condition applies to analysis of data, which, say, come from the evolution of glaciations: One cannot apply “chaos theory” to systems under varying external conditions, but only to systems which have some self-generated chaos under ?xed external conditions. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
26.10.2006
Sprache
Englisch
EAN
9783540347057
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Theoretical and Mathematical Physics
Sonderedition
Nein
Autor
Jean-Pierre Eckmann
Seitenanzahl
232
Einbandart
Gebundene Ausgabe
Schlagwörter
Invariant, dynamical systems, ergodic theory, hyperbolic dynamics, proof, statistical properties
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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