From Andronow to Zypkin: an outline of the history of non-linear dynamics in the USSR.
In: NDES 2012, 11 – 13 July 2012, Wolfenbüttel, Germany.
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By employing the conventional German, rather than English or international transliterations – particularly of the name written ‘Tsypkin’ in English –I artfully suggest that this talk is an ‘A to Z’ of Russian non-linear dynamics. However, the period under consideration is not delineated by these two names. Rather, I begin with the Poincaré-Lyapunov heritage – but then concentrate on the way that this thinking was transformed through Russian mathematicians, scientists and engineers such as Mandelshtam, Andronov, Lure and others, over a large part of the twentieth century. (Tsypkin, in fact, receives only a minor mention, as his major achievements were in other areas.) As a historian of automatic control, I draw primarily on applications of non-linear theory in feedback systems.
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