Abstract
For analytic dynamical systems, we consider the problem of finding discrete observation programs providing unique reconstruction of the motion and stable under small perturbations. A relationship is established between these programs and finite bases of observable functions. The results are based on a description of ideals in the ring of germs of analytic functions at a point and the theory of complex analytic sets.
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Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 194–201, August, 1999.
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Zaika, Y.V. Stable discrete observation programs in analytic dynamical systems. Math Notes 66, 153–159 (1999). https://doi.org/10.1007/BF02674871
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DOI: https://doi.org/10.1007/BF02674871