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Discrete systems constructed by the Störmer method. (English. Russian original) Zbl 1060.39013

Autom. Remote Control 59, No. 9, Part 1, 1255-1261 (1998); translation from Avtom. Telemekh. 1998, No. 9, 64-71 (1998).
Summary: The discrete system constructed by discretizing a continuous system through the Störmer method is shown to have a stable invariant manifold.

MSC:

39A12 Discrete version of topics in analysis
34B15 Nonlinear boundary value problems for ordinary differential equations
37D10 Invariant manifold theory for dynamical systems