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An omission in the outline of the general approach to the inverse problem in Acta Appl. Math. (54 (1998), pp. 233–273) is clarified.
We sketch some of the different roles played by Whitham times in connection with averaging, adiabatic invariants, soliton theory, Hamiltonian structures, topological field theory (TFT), Seiberg–Witten (SW) theory, isomonodromy problems, Hitchin systems, WDVV and Picard–Fuchs equations,...
This paper discusses new control synthesis for certain cascade type polynomial systems addressed in the paper as Čaplygin systems. A numerical control synthesis as well as characterization of reachability set are presented. The results of the paper are important for various branches of system...
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