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Ultrasensitive vibrational resonance induced by small disturbances.
Shangyuan Li1, Zhongqiu Wang2, Jianhua Yang1
1Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, Jiangsu, People's Republic of China.
Chaos (Woodbury, N.Y.)
|December 6, 2023
Summary
We discovered ultrasensitive vibrational resonance in nonlinear systems, a transient behavior linked to chaos. This phenomenon transitions to conventional resonance as system damping and coupling strength change.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Vibrational Resonance
Background:
- Vibrational resonance is a phenomenon in nonlinear systems where a weak signal can be amplified.
- Coupled nonlinear systems exhibit complex dynamics, including chaotic behavior.
Purpose of the Study:
- To investigate and characterize ultrasensitive vibrational resonance in coupled nonlinear systems.
- To explore the transient nature and underlying mechanisms of this resonance.
- To identify factors influencing the transition from ultrasensitive to conventional vibrational resonance.
Main Methods:
- Analysis of coupled nonlinear systems under specific excitation conditions.
- Investigation of system responses to small disturbances in high-frequency excitation and initial conditions.
- Examination of the effects of damping coefficient and coupling strength on resonance patterns.
Main Results:
- Identification of two types of ultrasensitive vibrational resonance, driven by transient chaos.
- Demonstration that ultrasensitive resonance is a transient behavior, evolving into conventional resonance.
- Observation that damping and coupling strength control the transition between resonance types.
- Correlation of ultrasensitive resonance with transient chaotic responses and fractal patterns.
- Occurrence of ultrasensitive resonance at excitation and nonlinear frequencies.
Conclusions:
- Ultrasensitive vibrational resonance is a novel transient phenomenon in coupled nonlinear systems.
- System parameters like damping and coupling strength dictate the transformation of resonance patterns.
- The underlying dynamics, including transient chaos, are crucial for understanding ultrasensitive resonance.
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