Energetic and entropic vibrational resonance

Vibrational resonance and chaos control in the canonical Chua's circuit with a smooth nonlinear resistor

“…Due to the signals of different time scales widely exist in various types of natural and artificial systems, such VR phenomena caused by two-frequency signals have gradually attracted the attention of researchers. Meanwhile, VR has been widely studied in nonlinear systems including position-dependent mass oscillator systems [12], bistable systems [13][14][15][16], periodic systems [17][18][19], systems under entropic and energetic potentials [20,21], and various Chua's circuits [22][23][24].…”

Vibrational resonance in globally coupled bistable systems under the noise background

“…For the reason why high-frequency signals are more convenient to control than noises and there is widespread existence of dualfrequency signals in nature, research of VR has expanded from bistable systems to monostable, [10] multistable, [11][12][13][14] asymmetric, [15][16][17] and other nonlinear systems. [18][19][20][21] In addition, VRs with effects of geometric spatial confinement and effects of quantum have also been studied, corresponding to entropic vibrational resonance [22,23] and quantum vibrational resonance, [24,25] respectively. Influence of damping coefficient on vibrational resonance has also been studied by nonlinear analog circuit experiments.…”

An analog circuit experiment on vibrational resonance of an underdamped bistable system

“…The system's response to a weak signal will also exhibit a maximum by changing the amplitude and frequency of a high-frequency signal [10,11]. Vibrational resonance has been comprehensively studied in the coupled system [12], periodic system [13], systems under the entropic potential and energetic potential [14,15] and nervous system [16][17][18]. However, most of the existing researches consider the overdamped vibrational resonance, and some documents consider the underdamped vibrational resonance theoretically [19][20][21]; nevertheless, the damping coefficient is set as a fixed value [10,[22][23][24].…”

“…The system's response to a weak signal will also exhibit a maximum by changing the amplitude and frequency of a high‐frequency signal [10, 11]. Vibrational resonance has been comprehensively studied in the coupled system [12], periodic system [13], systems under the entropic potential and energetic potential [14, 15] and nervous system [16–18].…”