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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