Geometric Theory of Discrete Nonautonomous Dynamical Systems
Geometric Theory of Discrete Nonautonomous Dynamical Systems
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DOI：
10.1007/978-3-642-14258-1_1
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发表时间：
2010-01-01
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影响因子：
--
通讯作者：
Poetzsche, Christian
中科院分区：
文献类型：
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作者：
Poetzsche, Christian
对动力系统渐近行为的理解可能是基于数学建模的科学中最相关的问题之一。在我们的框架中，这些动力系统预先是离散的，或者必须离散化才能对它们进行数值模拟。此外，它们是非自主的，因此与经典的自主情况有很大不同，因为非自主动态过程的初始时间与自开始以来经过的时间一样重要。
An understanding of the asymptotic behavior of dynamical systems is probably one of the most relevant problems in sciences based on mathematical modeling. In our framework, these dynamical systems arediscretebeforehand, or have to be discretized in order to simulate them numerically. Moreover, they arenonautonomousand therefore crucially differ from the classical autonomous case, since the initial time of a nonautonomous dynamical process is as important as the elapsed time since starting.