Occurrence of Vibrational resonance in an oscillator with an asymmetric Toda potential

Vibrational resonance (VR) is a phenomenon wherein the response of nonlinear oscillator driven by biharmonic forces with two different frequencies, ω and Ω, such that Ω≫ω, enhanced optimizing parameters high-frequency driving force. In this paper, an counterintuitive scenario in which biharmonically does not vibrate under well known VR conditions reported. This behaviour was observed system integrable asymmetric Toda potential usual configuration. It shown constant dissipation presence forces, take place, whereas displacement-dependent periodic multiple can be induced at certain values force parameters. Theoretical analysis are validated using numerical computation Simulink implementation MATLAB. Finally, regime parameter space for optimum occurrence estimated. result would relevant experimental applications dual-frequency laser models where extensively employed.