Fig. 8.

Chaos and state transition in the NAMs. These signals under different frequencies are steady responses and excitations shown in Figs. 4, 6 for the beam and plate, respectively. a Power spectra P _A(ω) of point A under 290 Hz of the beam, the legend shows different response amplitudes. b–f Error graphs of the change of signal LLEs λ _m with v _ex, where the lengths of the bars indicate the computational errors; b–c for the beam and d–f for the plate. In the legends of b–f, A, B and E represent the signals at the corresponding measured points; every labeled frequency indicates λ _m under that frequency