Nonautonomous Dynamical Systems in the Life Sciences

Beschreibung

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.
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.
Overview of recent developments in the theory of nonautonomous dynamical systems Examples of concepts and techniques in the context of simple models from the life sciences Representative collection of nonautonomous dynamical systems in the life sciences

Autor*in

Peter E. Kloeden

Themen in »Nonautonomous Dynamical Systems in the Life Sciences«

37B55,92XX,34C23,34C45,37HXX Models from the life sciences Nonautonomous bifurcations Nonautonomous dynamical systems

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“The book by Peter Kloeden and Christian Pötzsche meets an important need by addressing a topical and very general problem. … topics nicely illustrate the wide range of problems in the life sciences where nonautonomous dynamics can be important and, in many cases, is essential for an understanding of observed phenomena. The editors are to be commended for pulling together such a timely and interesting volume.” (Peter V. E. McClintock, Contemporary Physics, November, 2014)

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