Delay induces quasi-periodic vibrational resonance

In this communication, the delayed bistable system under the excitation of two different periodic signals is investigated by numerical simulation. It is found that the delay can induce quasi-periodic vibrational resonance. With the cooperation of the strong high-frequency signal and the delay, the weak low-frequency signal in the delayed bistable system can be enhanced greatly.

[1]  Der-Chin Su,et al.  Simple two-frequency laser , 1996 .

[2]  J Kurths,et al.  Vibrational resonance in a noise-induced structure. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Jürgen Kurths,et al.  Vibrational resonance and vibrational propagation in excitable systems , 2003 .

[4]  J Kurths,et al.  Experimental evidence, numerics, and theory of vibrational resonance in bistable systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  I. I. Blekhman,et al.  Conjugate resonances and bifurcations in nonlinear systems under biharmonical excitation , 2004 .

[6]  A. Maksimov,et al.  On the subharmonic emission of gas bubbles under two-frequency excitation , 1997 .

[7]  P. McClintock,et al.  LETTER TO THE EDITOR: Vibrational resonance , 2000 .

[8]  H. Seto,et al.  Neutron spin-echo studies on dynamic and static fluctuations in two types of poly(vinyl alcohol) gels. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Moshe Gitterman,et al.  Bistable oscillator driven by two periodic fields , 2001 .

[10]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[11]  J D Victor,et al.  Two-frequency analysis of interactions elicited by Vernier stimuli , 2000, Visual Neuroscience.

[12]  Giovanni Giacomelli,et al.  Vibrational resonance and the detection of aperiodic binary signals. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Bin Deng,et al.  Effect of chemical synapse on vibrational resonance in coupled neurons. , 2009, Chaos.

[14]  J P Baltanás,et al.  Effects of additive noise on vibrational resonance in a bistable system. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.