From Andronow to Zypkin: an outline of the history of non-linear dynamics in the USSR

Konferenz: NDES 2012 - Nonlinear Dynamics of Electronic Systems
11.07.2012 - 13.07.2012 in Wolfenbüttel, Germany

Tagungsband: NDES 2012

Seiten: 4Sprache: EnglischTyp: PDF

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Bissell, Chris (Department of Communication and Systems, Faculty of Mathematics, Computing and Technology, The Open University, Milton Keynes MK7 6AA, UK)

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.