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Optimizing charge-balanced pulse stimulation for desynchronization.

Erik T K Mau¹, Michael Rosenblum¹

¹Department of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, D-14476 Potsdam-Golm, Germany.

Chaos (Woodbury, N.Y.)

|February 2, 2022

Summary

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This study introduces pulsatile control to manage collective synchronization in large populations. Researchers developed a method to precisely increase or decrease synchrony using realistic pulse shapes and stimulation phases.

Area of Science:

Complex systems
Nonlinear dynamics
Statistical physics

Background:

Collective synchronization is prevalent in natural and engineered systems, with applications in neuroscience.
Controlling synchronization levels is crucial, necessitating effective techniques for both enhancement and suppression.

Purpose of the Study:

To investigate pulsatile control strategies for modulating collective synchronization in large populations.
To develop a theoretical framework for optimizing pulse profiles and stimulation phases to control synchrony levels.

Main Methods:

Utilizing the noisy Kuramoto-Winfree model to analyze synchronization dynamics.
Deriving an analytical expression for the change in phase distribution entropy due to pulsatile stimuli.
Investigating the influence of individual unit properties (natural frequencies, phase response curves) and population state.

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Main Results:

A method was derived to quantify the impact of pulsatile control on the entropy of phase distribution, serving as a measure of synchrony.
The study identified optimal pulse profiles and stimulation phases for either increasing or decreasing synchrony.
Theoretical predictions were validated through numerical simulations on a two-frequency population model.

Conclusions:

Pulsatile control offers a viable method for managing collective synchronization in complex systems.
The derived theoretical framework provides a foundation for designing targeted control strategies in systems like neural networks.
The findings highlight the importance of pulse characteristics and population properties in achieving desired synchronization outcomes.