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

PHYSICA D-NONLINEAR PHENOMENA

卷:419

Article

Kolebaje, Olusola^1,3  Popoola, O. O.²  Vincent, U. E.^3,4 

[1] Adeyemi Coll Educ, Dept Phys, Ondo 350106, Nigeria

[2] Univ Ibadan, Dept Phys, Ibadan, Nigeria

[3] Redeemers Univ, Dept Phys Sci, PMB 230, Ede, Nigeria

[4] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England

关键词: Oscillations;    Vibrations;    Resonance;    Nonlinear dissipation;    Toda oscillator;   

DOI  :  10.1016/j.physd.2021.132853

来源: Elsevier

【 摘 要 】

Vibrational resonance (VR) is a phenomenon wherein the response of a nonlinear oscillator driven by biharmonic forces with two different frequencies, omega and Omega, such that Omega >> omega, is enhanced by optimizing the parameters of high-frequency driving force. In this paper, an counterintuitive scenario in which a biharmonically driven nonlinear oscillator does not vibrate under the well known VR conditions is reported. This behaviour was observed in a system with an integrable and asymmetric Toda potential driven by biharmonic forces in the usual VR configuration. It is shown that with constant dissipation and in the presence of biharmonic forces, VR does not take place, whereas with nonlinear displacement-dependent periodic dissipation multiple VR can be induced at certain values of high-frequency force parameters. Theoretical analysis are validated using numerical computation and Simulink implementation in MATLAB. Finally, the regime in parameter space of the dissipation for optimum occurrence of multiple VR in the Toda oscillator was estimated. This result would be relevant for experimental applications of dual-frequency driven laser models where the Toda potential is extensively employed. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free