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Stochastic resonance in deformable potential with time-delayed feedback.
Y J Wadop Ngouongo1, M Djolieu Funaye1, G Djuidjé Kenmoé1
1Laboratory of Mechanics, Materials and Structures, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon.
Summary
This study reveals how time-delayed feedback influences stochastic resonance (SR) in a deforming potential. Memory effects can induce double resonances, altering SR properties based on feedback strength and time delay.
Area of Science:
- Nonlinear dynamics
- Statistical physics
- Complex systems
Background:
- Stochastic resonance (SR) is a phenomenon where a weak signal is enhanced by adding noise.
- Memory effects, introduced via time-delayed feedback, can significantly alter system dynamics.
- Deformable potentials introduce complexity to the behavior of particles in physical systems.
Purpose of the Study:
- To investigate the influence of time-delayed feedback on stochastic resonance (SR) in a Brownian particle system.
- To explore how memory effects and potential deformation interact to affect SR.
- To analyze the impact of feedback strength and time delay on SR characteristics.
Main Methods:
- Numerical examination of a Brownian particle in a deforming potential (Remoissenet-Peyrard potential).
- Modeling memory effects using time-delayed feedback.
- Quantifying SR phenomenon through hysteresis loop area analysis.
Main Results:
- Time-delayed feedback significantly impacts the stochastic resonance phenomenon.
- The system can exhibit double resonances due to the presence of memory effects.
- SR properties are dependent on the interplay between feedback strength, time delay, and potential shape parameter.
Conclusions:
- Time-delayed feedback is a crucial factor in modulating stochastic resonance in deformable potentials.
- The observed double resonances highlight the complex influence of memory effects on nonlinear systems.
- Understanding these interdependencies is key for controlling and predicting SR behavior in such systems.
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