Nonautonomous Dynamical Systems in the Life Sciences

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Nonautonomous Dynamical Systems in the Life Sciences by , Springer International Publishing
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Author: ISBN: 9783319030807
Publisher: Springer International Publishing Publication: January 22, 2014
Imprint: Springer Language: English
Author:
ISBN: 9783319030807
Publisher: Springer International Publishing
Publication: January 22, 2014
Imprint: Springer
Language: English

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. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.

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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. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.

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