Geodesic
Nonlinear Resonance in a Position-Dependent Mass-Duffing Oscillator System with Monostable Potentials Driven by an Amplitude-Modulated Signal
Russian journal of nonlinear dynamics, Tome 19 (2023) no. 3, pp. 389-408

Voir la notice de l'article provenant de la source Math-Net.Ru

This study examines the phenomenon of vibrational resonance (VR) in a classical position-dependent mass (PDM) system characterized by three types of single-well potentials. These potentials are influenced by an amplitude-modulated (AM) signal with $\Omega\gg\omega$. Our analysis is limited to the following parametric choices: (i) $\omega_{0}^{2}, \,\beta,\,m_0^{},\, \lambda > 0$ (type-1 single-well), (ii) $\omega_{0}^{2}>0$, $\beta 0$, $2$, $1\lambda2$ (type-2 single-well), (iii) $\omega_{0}^{2}>0$, $\beta0$, $0$, $0\lambda1$ (type-3 single-well). The system presents an intriguing scenario in which the PDM function significantly contributes to the occurrence of VR. In addition to the analytical derivation of the equation for slow motions of the system based on the high-frequency signal's parameters using the method of direct separation of motion, numerical evidence is presented for VR and its basic dynamical behaviors are investigated. Based on the findings presented in this paper, the weak low-frequency signal within the single-well PDM system can be either attenuated or amplified by manipulating PDM parameters, such as mass amplitude ($m_0^{}$) and mass spatial nonlinearity $\lambda$. The outcomes of the analytical investigations are validated and further supported through numerical simulations.
Keywords: position-dependent mass system, amplitude-modulated signal, vibrational reso- nance, hysteresis
Mots-clés : chaos. 
@article{ND_2023_19_3_a7,
     author = {K. Suddalai Kannan and Sh. M. Abdul Kader and V. Chinnathambi and M. V. Sethu Meenakshi and Sh. Rajasekar},
     title = {Nonlinear {Resonance} in a {Position-Dependent} {Mass-Duffing} {Oscillator} {System} with {Monostable} {Potentials} {Driven} by an {Amplitude-Modulated} {Signal}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {389--408},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2023_19_3_a7/}
}
TY  - JOUR
AU  - K. Suddalai Kannan
AU  - Sh. M. Abdul Kader
AU  - V. Chinnathambi
AU  - M. V. Sethu Meenakshi
AU  - Sh. Rajasekar
TI  - Nonlinear Resonance in a Position-Dependent Mass-Duffing Oscillator System with Monostable Potentials Driven by an Amplitude-Modulated Signal
JO  - Russian journal of nonlinear dynamics
PY  - 2023
SP  - 389
EP  - 408
VL  - 19
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2023_19_3_a7/
LA  - en
ID  - ND_2023_19_3_a7
ER  - 
%0 Journal Article
%A K. Suddalai Kannan
%A Sh. M. Abdul Kader
%A V. Chinnathambi
%A M. V. Sethu Meenakshi
%A Sh. Rajasekar
%T Nonlinear Resonance in a Position-Dependent Mass-Duffing Oscillator System with Monostable Potentials Driven by an Amplitude-Modulated Signal
%J Russian journal of nonlinear dynamics
%D 2023
%P 389-408
%V 19
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2023_19_3_a7/
%G en
%F ND_2023_19_3_a7
K. Suddalai Kannan; Sh. M. Abdul Kader; V. Chinnathambi; M. V. Sethu Meenakshi; Sh. Rajasekar. Nonlinear Resonance in a Position-Dependent Mass-Duffing Oscillator System with Monostable Potentials Driven by an Amplitude-Modulated Signal. Russian journal of nonlinear dynamics, Tome 19 (2023) no. 3, pp. 389-408. http://geodesic.mathdoc.fr/item/ND_2023_19_3_a7/