pol der mark earliest experimental (1 risultati)

Soft cover. Condizione: Very Good. ++ Perhaps one of the earliest experimental observations of deterministic chaos.++ Pol, B. van der. and Mark, J. van der. Frequency demultiplication in Nature, volume 120, number 3019, 10 September 1927, pp. 363-364 in the full weekly issue of pp 353-392, with 6pp of ads. VG copy. Parallel to the mathematical work of Birkhoff and others in the U.S. and Europe, interest in nonlinear oscillations was growing, driven largely by developments in electronics (indeed, Lefschetz, mentioned above, edited a series of books on the topic). B. van der Pol, a radio engineer at the Phillips labs in Eindhoven, published a remarkable short paper (van der Pol and van der Mark 1927 the paper offered here) which may contain the first experimental observation of deterministic chaos (they describe an "irregular noise" in a diode subject to periodic forcing). This paper also noted the coexistence of periodic orbits of different period (subharmonics of two distinct orders), which implied the existence of a complicated unstable invariant set, following (Birkhoff, 1932). Wikipedia, History of Dynamical Systems. See: Writing the History of Dynamical Systems and Chaos , Aubin and Dalmedico, Historia Mathematica 29 (2002), 273 339.