Vibrational resonance in a higher-order nonlinear damped oscillator with rough potential
- PDF / 873,189 Bytes
- 10 Pages / 595.276 x 790.866 pts Page_size
- 98 Downloads / 161 Views
© Indian Academy of Sciences
Vibrational resonance in a higher-order nonlinear damped oscillator with rough potential J A LAOYE1 , T O ROY-LAYINDE1,2 , K A OMOTESO1 , O O POPOOLA1 and U E VINCENT3,4,∗ 1 Department
of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria of Physics, University of Ibadan, Ibadan, Nigeria 3 Department of Physical Sciences, Redeemer’s University, Ede, Osun State, Nigeria 4 Department of Physics, Lancaster University, Lancaster LA1 4YB, UK ∗ Corresponding author. E-mail: [email protected] 2 Department
MS received 20 March 2019; revised 30 July 2019; accepted 21 August 2019 Abstract. We examine the vibrational resonance (VR) of particles moving in a strongly nonlinear damped medium with a harmonically perturbed potential consisting of a background smooth triple-well potential superimposed by a fast oscillating periodic function and subjected to weak and high-frequency (HF) driving forces. The combined effects of the nonlinear damping inhomogeneity and roughness induced by the harmonic perturbation on the phenomenon of VR were theoretically and numerically analysed. It was found that damping inhomogeneity contributed significantly to the enhancement of resonant states, while potential roughness can be optimised by the HF signal to assist resonance enhancement. Furthermore, the traditional smooth VR shapes occurring in the absence of roughness experienced significant distortion occasioned by potential roughness manifesting as spikes that could ultimately be optimised by large amplitudes of the fast signal to energetically facilitate the potential barrier crossing process, thereby enabling VR enhancement. Keywords. Oscillations; vibrations; fluctuations; resonance; nonlinear dissipation. PACS Nos 12.60.Jv; 12.10.Dm; 98.80.Cq; 11.30.Hv
1. Introduction The phenomenon of vibrational resonance (VR) [1] has attracted a lot of attention due to its various applications in weak signal detection [2,3], signal output filtering and attenuation of unwanted signal that are highly applicable in the field of communication, particularly in signal transmissions on different frequencies. The phenomenon is closely related to the already well-studied stochastic resonance [4,5] and other forms of nonlinear resonances which do not directly imply frequency matching such as chaotic resonance [6], coherence resonance [7], parametric resonance [8], ghost resonance [9], autoresonance [8] and antiresonance [10]. VR employs the cooperation between two input signals with significantly varying frequencies – a weak lowfrequency (LF) signal and a fast high-frequency (HF) signal – to improve the quality of output of the weak LF signal. Theoretical studies (see, among the others, [11– 20]) on VR have been realised in physical experiments (see, among the others, [21–23]). 0123456789().: V,-vol
At resonance, bifurcation of effective potential of slow motion of the system takes place and for this reason, attention of researchers has been drawn to the possible complementary roles played by the system’s innate bifur
Data Loading...
