caa a22 4500 469108835 CHVBK 20180323133104.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF00424370 doi (NATIONALLICENCE)springer-10.1007/BF00424370 Complex and chaotic response of a non-linear oscillator with an isothermal gas spring [Elektronische Daten] [M. Fanelli, S. Sello] In this paper we study the dynamics of a non-linear one-degree-of-freedom system subjected to an external harmonic excitation, representing a simplified model for the synchronous hydraulic oscillations that can occur in the draft tube of Francis turbines at partial loads. The application of different typical numerical techniques has shown the existence of multiple coexisting periodic solutions, and the non-periodic bounded solutions which exhibit deterministic chaotic behaviour. The relevant strange attractor has been defined and the loss of memory associated with an exponential divergence in time of close initial conditions resulting in chaotic dynamics have been found and measured. A partial classification of qualitatively different dynamical behaviours for the system has been outlined in the control parameter space. Kluwer Academic Publishers, 1992 Non-linear dynamics nationallicence Chaos nationallicence Hydraulic oscillator nationallicence Fanelli M. E.N.E.L.-D.S.R.-C.R.I.S., via Ornato, 90, 14-20162, Milano, Italy aut Sello S. (Applied Mathematics Section), C.I.S.E., via Reggio Emilia, 39, 20090, Segrate (MI), Italy aut Meccanica Kluwer Academic Publishers 27/4(1992-12-01), 297-306 0025-6455 27:4<297 1992 27 11012 https://doi.org/10.1007/BF00424370 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00424370 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fanelli M. E.N.E.L.-D.S.R.-C.R.I.S., via Ornato, 90, 14-20162, Milano, Italy aut NATIONALLICENCE 700 1- Sello S. (Applied Mathematics Section), C.I.S.E., via Reggio Emilia, 39, 20090, Segrate (MI), Italy aut NATIONALLICENCE 773 0- Meccanica Kluwer Academic Publishers 27/4(1992-12-01), 297-306 0025-6455 27:4<297 1992 27 11012 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer