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Crisis-induced vibrational resonance in a phase-modulated periodic structure
P O Adesina1, U E Vincent2, T O Roy-Layinde3
1Department of Physical Sciences, <a href="https://ror.org/01v0we819">Redeemer's University</a>, Ede 232102, Nigeria and Department of Physics, <a href="https://ror.org/03wx2rr30">University of Ibadan</a>, Ibadan, Nigeria.
Physical Review. E
|October 19, 2024
Summary
This study reveals double vibrational resonance in Josephson junction oscillators with phase modulation. Researchers identified resonant induction and amplification, explaining the double resonance phenomenon.
Area of Science:
- Nonlinear Dynamics
- Condensed Matter Physics
- Quantum Electronics
Background:
- Josephson junctions are crucial in quantum electronics, exhibiting complex dynamics under external forcing.
- Understanding resonance phenomena in driven nonlinear systems is key to controlling their behavior.
Purpose of the Study:
- To investigate and explain the occurrence of double vibrational resonance in a driven Josephson junction oscillator.
- To identify the underlying mechanisms responsible for the observed double resonance.
Main Methods:
- Theoretical analysis of a driven oscillator model with high-frequency phase modulation.
- Numerical simulations to explore the system's dynamics and resonance effects.
- Analysis of phase modulation effects, including resonant induction and amplification.
Main Results:
- Observed and confirmed double vibrational resonance in the Josephson junction oscillator.
- Identified two distinct phase modulation effects: resonant induction and resonant amplification.
- Linked the induced resonance to a transition from periodic to quasiperiodic behavior via an attractor-merging crisis.
Conclusions:
- Double vibrational resonance in Josephson junctions is driven by specific phase modulation effects.
- The transition to quasiperiodicity and attractor-merging crises are critical to understanding this resonance phenomenon.
- This work provides insights into controlling and predicting complex dynamics in nonlinear oscillators.
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