Chaotic electronic circuits
Electronic circuits are dynamical systems. There is a long tradition to investigate electronic circuits using the emerging dynamical system theory since the 1930s with the contributions by Balthazar van der Pol [1] and Aleksandr Andronov’s school [2] to only quote the most well known. Henri Poincaré, who may be considered as one of the fathers of the dynamical system theory, investigated himself the equation governing a singing arc [3]. Later, books by Nicholai Minorsky [4] and Chihiro Hayashi, [5] were important in popularizing the dynamical systems approach in electronic circuits.
Early contributions to chaos by people investigating electronic circuits were reviewed in Ref. [6].
[1] B. van der Pol, On “relaxation-oscillations”, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 7 (2), 978-992, 1926.
[2] A. A. Andronov, A. A. Vitt & S. E. Khaikin, Theory of Oscillators, Addison-Wesley, 1966.
[3] H. Poincaré, Sur la télégraphie sans fil, Lumière électrique, 4, 259-266, 291-297, 323-327, 355-359 & 387-393, 1908.
[4] N. Minorsky, Nonlinear Oscillations, Princeton, 1962.
[5] C. Hayashi, Nonlinear Oscillations in Physical Systems, McGraw-Hill, 1964.
[6] C. Letellier & J.-M. Ginoux, Development of the nonlinear dynamical systems theory from radio engineering to electronics, International Journal of Bifurcation & Chaos, 19 (7), 2131-2163, 2009.
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MàJ . 04/02/2024