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Single and multiple vibrational resonance in a quintic oscillator with monostable potentials
S Jeyakumari1, V Chinnathambi, S Rajasekar
1Department of Physics, Sri KGS Arts College, Srivaikuntam, Tamilnadu, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
Summary
This study investigates vibrational resonance in a damped quintic oscillator under dual-frequency forcing. Multiple resonances can occur depending on potential parameters, with resonance amplitude independent of damping.
Area of Science:
- Nonlinear Dynamics
- Oscillations and Vibrations
- Theoretical Physics
Background:
- Vibrational resonance is a phenomenon in nonlinear systems.
- Understanding resonance is crucial for controlling system responses.
- Quintic oscillators exhibit complex dynamics under external forces.
Purpose of the Study:
- To analyze vibrational resonance in a damped quintic oscillator.
- To investigate the influence of potential well shapes on resonance.
- To determine conditions for single and multiple resonances.
Main Methods:
- Analysis of a damped quintic oscillator with a specific potential function.
- Investigation of three distinct parametric choices for the potential.
- Derivation of approximate theoretical expressions for response amplitude.
- Numerical simulations to validate theoretical predictions.
Main Results:
- Vibrational resonance occurrence depends on system parameters and forcing amplitudes.
- Single-well potentials can lead to one or no resonance.
- Double-hump single wells can exhibit multiple resonances.
- Resonance amplitude is independent of damping, while frequency depends on it.
Conclusions:
- The study provides insights into the complex behavior of quintic oscillators.
- Potential well engineering can control the number of resonances observed.
- Vibrational resonance can be characterized by orbit width.
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