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2013 | OriginalPaper | Buchkapitel

1. Nonautonomous Dynamical Systems in the Life Sciences

verfasst von : Peter E. Kloeden, Christian Pötzsche

Erschienen in: Nonautonomous Dynamical Systems in the Life Sciences

Verlag: Springer International Publishing

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Abstract

Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time-dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. This development was motivated by problems of applied mathematics, in particular in the life sciences where genuinely nonautonomous systems abound. In this survey, we introduce basic concepts and tools for appropriate nonautonomous dynamical systems and apply them to various representative biological models.

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Nächstes Kapitel Random Dynamical Systems with Inputs
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Metadaten
Titel
Nonautonomous Dynamical Systems in the Life Sciences
verfasst von
Peter E. Kloeden
Christian Pötzsche
Copyright-Jahr
2013
Buch
Nonautonomous Dynamical Systems in the Life Sciences

Print ISBN: 978-3-319-03079-1

Electronic ISBN: 978-3-319-03080-7

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-3-319-03080-7_1