R. Lupini, IMPULSED OSCILLATOR AND CHAOTIC DYNAMICS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 109(12), 1994, pp. 1247-1257
Deterministic 1D chaos, that is chaos in maps x' = F(x), x is an eleme
nt of R, can represent exactly the chaotic dynamics of 1D linear oscil
lators subject to periodic, non-linear delayed impulses, for suitable
tuning between the impulse period and the free-oscillation period.