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On the relationship between discrete and continuous observations of dynamical systems - MaRDI portal

On the relationship between discrete and continuous observations of dynamical systems (Q2910228)

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scientific article; zbMATH DE number 6079130
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On the relationship between discrete and continuous observations of dynamical systems
scientific article; zbMATH DE number 6079130

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    7 September 2012
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    dynamical system
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    almost periodic sequence
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    observation sequence
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    On the relationship between discrete and continuous observations of dynamical systems (English)
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    The authors consider almost periodic differential equations and establish conditions for their discrete counterpart such that, if the discrete solution is almost periodic, then its continuous counterpart will be almost periodic. They relax the condition on the observation set, i.e. the set does not need to possess the structure of a subgroup, which was assumed by many authors earlier. At the end, an application to a time varying system is given.
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