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Measure synchronization transition and its critical behavior in coupled camphor rotors
Haibo Qiu1, Gangmin Yue1, Huawei Fan1
1School of Science, Xi'an University of Posts Telecommunications, 710121 Xi'an, China.
Chaos (Woodbury, N.Y.)
|March 14, 2025
Summary
This study theoretically investigates measure synchronization (MS) in coupled camphor rotors. Increasing coupling intensity induces partial and complete MS, achieving phase and frequency locking.
Area of Science:
- Nonlinear Dynamics
- Theoretical Physics
- Chemical Physics
Background:
- Prior experimental work established measure synchronization (MS) in two coupled camphor rotors.
- Camphor rotors exhibit complex dynamics influenced by inter-particle interactions.
- Understanding synchronization phenomena is crucial in various scientific fields.
Purpose of the Study:
- To theoretically investigate measure synchronization (MS) transitions in systems of two and three coupled camphor rotors.
- To analyze the energy characteristics associated with MS transitions.
- To elucidate the dynamic mechanisms underlying MS phenomena.
Main Methods:
- Modeling camphor rotors as point particles on a unit circle.
- Employing the repulsive Yukawa potential to describe inter-rotor interactions.
- Utilizing Poincaré cross-section analysis to reveal dynamic mechanisms.
Main Results:
- Measure synchronization (MS), including partial MS (PMS) and complete MS (CMS), is achieved by increasing coupling intensity.
- Phase locking and frequency locking are observed at MS transitions.
- The energy characteristics of MS were analyzed, providing insights into the system's behavior.
Conclusions:
- Theoretical analysis confirms the occurrence of MS in coupled camphor rotor systems.
- The study reveals critical coupling intensities for achieving PMS and CMS.
- Poincaré analysis provides a deeper understanding of the dynamic mechanisms driving MS transitions.
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