Efficient determination of synchronization domains from observations of asynchronous dynamics

Area of Science:

• Nonlinear dynamics
• Experimental physics
• Systems biology

Background:

• Determining oscillator synchronization domains typically requires extensive forcing with varied frequencies and amplitudes.
• This extensive forcing can be detrimental, especially in sensitive experimental subjects like living systems.

Purpose of the Study:

• To develop a rapid experimental method for inferring synchronization properties of oscillators.
• To reduce the number of required observations for synchronization domain determination.
• To enable synchronization studies in systems where external perturbations must be minimized.

Main Methods:

• Reconstruction of phase dynamics from limited observational data.
• Application of the method to noisy and chaotic oscillator systems.

Main Results:

• Successfully determined synchronization domains using only a few observations.
• Demonstrated the efficacy of the phase dynamics reconstruction technique.
• Validated the approach for noisy and chaotic systems.

Conclusions:

• The developed approach offers a significantly faster and less invasive method for experimental synchronization analysis.
• This technique is particularly advantageous for experiments involving living systems.
• Enables robust synchronization domain inference even with limited data and inherent system noise.